Fractional-Order Integral and Derivative Operators and Their Applications
In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their dem...
Saved in:
Sonstige: | |
---|---|
Year of Publication: | 2020 |
Language: | English |
Physical Description: | 1 electronic resource (344 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
993546173804498 |
---|---|
ctrlnum |
(CKB)5400000000045084 (oapen)https://directory.doabooks.org/handle/20.500.12854/68986 (EXLCZ)995400000000045084 |
collection |
bib_alma |
record_format |
marc |
spelling |
Srivastava, Hari Mohan edt Fractional-Order Integral and Derivative Operators and Their Applications Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020 1 electronic resource (344 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their demonstrated applications in numerous seemingly diverse and widespread areas of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide interesting, potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables. For this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional-order integral and derivative operators and their multidisciplinary applications. English Research & information: general bicssc Mathematics & science bicssc Legendre wavelet operational matrix systems of fractional order differential equations Liouville_Caputo sense analytic functions starlike functions univalent functions length problems SIR model Hermite collocation method approximate solution Hermite polynomials and series collocation points starlike and q-starlike functions q-derivative operator q-hypergeometric functions conic and generalized conic domains Hankel determinant Toeplitz matrices fractional differential equations Riemann-stieltjes integral monotone iterative method upper and lower solutions fractional diffusion equation controllability impulsive system unique continuation property non-linear fractional variational problems orthogonal polynomials Rayleigh-Ritz method error analysis convergence analysis Banach space Sobolev space Laplace operators nonlocal boundary conditions fractional differential systems mixed Riemann-Liouville integral mixed Hadamard integral Hilfer derivative Hadamard derivative coupled system random solution variable order fractional derivative initial value problem piecewise constant functions starlike function Toeplitz determinant sine function upper bound convex functions subordination logarithmic coefficients Gauss hypergeometric function confluent hypergeometric function Appell's functions incomplete fractional calculus Riemann-Liouville fractional integral generating functions fractional integrals fractional derivatives Mittag-Leffler functions field spectrum fractional calculus desert soil available potassium correlation analysis Post-Exposure Prophylaxis latent reservoir HIV infection fractional order model multivalent functions close-to-convex functions uniformly starlike functions uniformly close-to-convex functions conic domains q-calculus differential subordination Janowski function cardioid domain limacon domain fractional order unknown input fuzzy observer fractional order Takagi-Sugeno models L2 optimization linear matrix inequalities unmeasurable premise variables global solutions fractional in time and space shallow-water system ψ-Caputo fractional derivative Hilfer fractional derivative Ulam stability pantograph differential equation nonlocal integral condition Miura transform soliton equations logarithm 3-03936-650-5 3-03936-651-3 Srivastava, Hari Mohan oth |
language |
English |
format |
eBook |
author2 |
Srivastava, Hari Mohan |
author_facet |
Srivastava, Hari Mohan |
author2_variant |
h m s hm hms |
author2_role |
Sonstige |
title |
Fractional-Order Integral and Derivative Operators and Their Applications |
spellingShingle |
Fractional-Order Integral and Derivative Operators and Their Applications |
title_full |
Fractional-Order Integral and Derivative Operators and Their Applications |
title_fullStr |
Fractional-Order Integral and Derivative Operators and Their Applications |
title_full_unstemmed |
Fractional-Order Integral and Derivative Operators and Their Applications |
title_auth |
Fractional-Order Integral and Derivative Operators and Their Applications |
title_new |
Fractional-Order Integral and Derivative Operators and Their Applications |
title_sort |
fractional-order integral and derivative operators and their applications |
publisher |
MDPI - Multidisciplinary Digital Publishing Institute |
publishDate |
2020 |
physical |
1 electronic resource (344 p.) |
isbn |
3-03936-650-5 3-03936-651-3 |
illustrated |
Not Illustrated |
work_keys_str_mv |
AT srivastavaharimohan fractionalorderintegralandderivativeoperatorsandtheirapplications |
status_str |
n |
ids_txt_mv |
(CKB)5400000000045084 (oapen)https://directory.doabooks.org/handle/20.500.12854/68986 (EXLCZ)995400000000045084 |
carrierType_str_mv |
cr |
is_hierarchy_title |
Fractional-Order Integral and Derivative Operators and Their Applications |
author2_original_writing_str_mv |
noLinkedField |
_version_ |
1796652245954068481 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05954nam-a2201453z--4500</leader><controlfield tag="001">993546173804498</controlfield><controlfield tag="005">20231214133057.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr|mn|---annan</controlfield><controlfield tag="008">202105s2020 xx |||||o ||| 0|eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(CKB)5400000000045084</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(oapen)https://directory.doabooks.org/handle/20.500.12854/68986</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EXLCZ)995400000000045084</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Srivastava, Hari Mohan</subfield><subfield code="4">edt</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fractional-Order Integral and Derivative Operators and Their Applications</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Basel, Switzerland</subfield><subfield code="b">MDPI - Multidisciplinary Digital Publishing Institute</subfield><subfield code="c">2020</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 electronic resource (344 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their demonstrated applications in numerous seemingly diverse and widespread areas of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide interesting, potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables. For this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional-order integral and derivative operators and their multidisciplinary applications.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Research & information: general</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics & science</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Legendre wavelet</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">operational matrix</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">systems of fractional order differential equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Liouville_Caputo sense</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">analytic functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">starlike functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">univalent functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">length problems</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">SIR model</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hermite collocation method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">approximate solution</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hermite polynomials and series</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">collocation points</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">starlike and q-starlike functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">q-derivative operator</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">q-hypergeometric functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">conic and generalized conic domains</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hankel determinant</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Toeplitz matrices</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional differential equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann-stieltjes integral</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">monotone iterative method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">upper and lower solutions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional diffusion equation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">controllability</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">impulsive system</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">unique continuation property</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">non-linear fractional variational problems</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">orthogonal polynomials</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Rayleigh-Ritz method</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">error analysis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">convergence analysis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach space</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sobolev space</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Laplace operators</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">nonlocal boundary conditions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional differential systems</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">mixed Riemann-Liouville integral</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">mixed Hadamard integral</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hilfer derivative</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hadamard derivative</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">coupled system</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">random solution</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">variable order fractional derivative</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">initial value problem</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">piecewise constant functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">starlike function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Toeplitz determinant</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">sine function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">upper bound</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">convex functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">subordination</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">logarithmic coefficients</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Gauss hypergeometric function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">confluent hypergeometric function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Appell's functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">incomplete fractional calculus</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann-Liouville fractional integral</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">generating functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional integrals</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional derivatives</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mittag-Leffler functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">field spectrum</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional calculus</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">desert soil</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">available potassium</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">correlation analysis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Post-Exposure Prophylaxis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">latent reservoir</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">HIV infection</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional order model</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">multivalent functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">close-to-convex functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">uniformly starlike functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">uniformly close-to-convex functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">conic domains</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">q-calculus</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">differential subordination</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Janowski function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">cardioid domain</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">limacon domain</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional order unknown input fuzzy observer</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional order Takagi-Sugeno models</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">L2 optimization</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">linear matrix inequalities</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">unmeasurable premise variables</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">global solutions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional in time and space shallow-water system</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">ψ-Caputo fractional derivative</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hilfer fractional derivative</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ulam stability</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">pantograph differential equation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">nonlocal integral condition</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Miura transform</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">soliton equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">logarithm</subfield></datafield><datafield tag="776" ind1=" " ind2=" "><subfield code="z">3-03936-650-5</subfield></datafield><datafield tag="776" ind1=" " ind2=" "><subfield code="z">3-03936-651-3</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Srivastava, Hari Mohan</subfield><subfield code="4">oth</subfield></datafield><datafield tag="906" ind1=" " ind2=" "><subfield code="a">BOOK</subfield></datafield><datafield tag="ADM" ind1=" " ind2=" "><subfield code="b">2023-12-15 05:42:08 Europe/Vienna</subfield><subfield code="f">system</subfield><subfield code="c">marc21</subfield><subfield code="a">2022-04-04 09:22:53 Europe/Vienna</subfield><subfield code="g">false</subfield></datafield><datafield tag="AVE" ind1=" " ind2=" "><subfield code="i">DOAB Directory of Open Access Books</subfield><subfield code="P">DOAB Directory of Open Access Books</subfield><subfield code="x">https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5338154630004498&Force_direct=true</subfield><subfield code="Z">5338154630004498</subfield><subfield code="b">Available</subfield><subfield code="8">5338154630004498</subfield></datafield></record></collection> |