Implicit Fractional Differential and Integral Equations : : Existence and Stability / / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson.
This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
| Year of Publication: | 2018 |
| Language: | English |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
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| Physical Description: | 1 online resource (XXIII, 336 p.) |
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Abbas, Saïd, author. aut http://id.loc.gov/vocabulary/relators/aut Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (XXIII, 336 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 26 Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard–Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. ContentsPreliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard–Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Fractional differential equations. Fractional integrals. Differentialgleichung. Existenzsatz. Gebrochene Analysis. Integralgleichung. Stabilität. MATHEMATICS / Differential Equations / General. bisacsh Benchohra, Mouffak, author. aut http://id.loc.gov/vocabulary/relators/aut Graef, John R., author. aut http://id.loc.gov/vocabulary/relators/aut Henderson, Johnny, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA EPUB 9783110553185 print 9783110553130 https://doi.org/10.1515/9783110553819 https://www.degruyter.com/isbn/9783110553819 Cover https://www.degruyter.com/document/cover/isbn/9783110553819/original |
| language |
English |
| format |
eBook |
| author |
Abbas, Saïd, Abbas, Saïd, Benchohra, Mouffak, Graef, John R., Henderson, Johnny, |
| spellingShingle |
Abbas, Saïd, Abbas, Saïd, Benchohra, Mouffak, Graef, John R., Henderson, Johnny, Implicit Fractional Differential and Integral Equations : Existence and Stability / De Gruyter Series in Nonlinear Analysis and Applications , Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard–Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index |
| author_facet |
Abbas, Saïd, Abbas, Saïd, Benchohra, Mouffak, Graef, John R., Henderson, Johnny, Benchohra, Mouffak, Benchohra, Mouffak, Graef, John R., Graef, John R., Henderson, Johnny, Henderson, Johnny, |
| author_variant |
s a sa s a sa m b mb j r g jr jrg j h jh |
| author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Benchohra, Mouffak, Benchohra, Mouffak, Graef, John R., Graef, John R., Henderson, Johnny, Henderson, Johnny, |
| author2_variant |
m b mb j r g jr jrg j h jh |
| author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author_sort |
Abbas, Saïd, |
| title |
Implicit Fractional Differential and Integral Equations : Existence and Stability / |
| title_sub |
Existence and Stability / |
| title_full |
Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. |
| title_fullStr |
Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. |
| title_full_unstemmed |
Implicit Fractional Differential and Integral Equations : Existence and Stability / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson. |
| title_auth |
Implicit Fractional Differential and Integral Equations : Existence and Stability / |
| title_alt |
Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard–Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index |
| title_new |
Implicit Fractional Differential and Integral Equations : |
| title_sort |
implicit fractional differential and integral equations : existence and stability / |
| series |
De Gruyter Series in Nonlinear Analysis and Applications , |
| series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
| publisher |
De Gruyter, |
| publishDate |
2018 |
| physical |
1 online resource (XXIII, 336 p.) Issued also in print. |
| contents |
Frontmatter -- Preface -- Contents -- Introduction -- 1 Preliminary Background -- 2 Nonlinear Implicit Fractional Differential Equations -- 3 Impulsive Nonlinear Implicit Fractional Differential Equations -- 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- 5 Boundary Value Problems for Impulsive NIFDE -- 6 Integrable Solutions for Implicit Fractional Differential Equations -- 7 Partial Hadamard Fractional Integral Equations and Inclusions -- 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- 9 Hadamard–Stieltjes Fractional Integral Equations -- 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- Bibliography -- Index |
| isbn |
9783110553819 9783110762488 9783110719550 9783110647099 9783110604252 9783110603255 9783110604191 9783110603194 9783110553185 9783110553130 |
| issn |
0941-813X ; |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA372 |
| callnumber-sort |
QA 3372 A23 42018 |
| url |
https://doi.org/10.1515/9783110553819 https://www.degruyter.com/isbn/9783110553819 https://www.degruyter.com/document/cover/isbn/9783110553819/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.83 |
| dewey-sort |
3515.83 |
| dewey-raw |
515.83 |
| dewey-search |
515.83 |
| doi_str_mv |
10.1515/9783110553819 |
| oclc_num |
1023551480 |
| work_keys_str_mv |
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| status_str |
n |
| ids_txt_mv |
(DE-B1597)483280 (OCoLC)1023551480 |
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cr |
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Implicit Fractional Differential and Integral Equations : Existence and Stability / |
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