Fractional dynamics / / Carlo Cattani, Hari M. Srivastava, Xiao-Jun Yang (eds.).
The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent res...
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Place / Publishing House: | Berlin : : De Gruyter Open,, [2015] ©2015 |
Year of Publication: | 2015 |
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Physical Description: | 1 online resource (392 pages) :; illustrations |
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Srivastava, Hari M. auth Fractional dynamics / Carlo Cattani, Hari M. Srivastava, Xiao-Jun Yang (eds.). 1st ed. De Gruyter 2015 Berlin : De Gruyter Open, [2015] ©2015 1 online resource (392 pages) : illustrations text txt computer c online resource cr Bibliographic Level Mode of Issuance: Monograph English This eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes and dynamical systems of fractional order attract researchers from many areas of sciences and technologies,ranging from mathematics and physics to computer science. Frontmatter -- Contents -- Fractional Dynamics / Cattani, Carlo / Srivastava, H. M. / Yang, Xiao-Jun -- Local Fractional Calculus on Shannon Wavelet Basis / Cattani, Carlo -- Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality / Tarasov, Vasily E. -- Temporal Patterns in Earthquake Data-series / Lopes, António M. / Tenreiro Machado, J.A. -- An Integral Transform arising from Fractional Calculus / Asada, Akira -- Approximate Solutions to Time-fractional Models by Integral-balance Approach / Hristov, Jordan -- A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions / Ahmad, Bashir / Alsaedi, Ahmed / Al-Hutami, Hana -- Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface / Lenzi, M. K. / Gonçalves, G. / Leitoles, D. P. / Lenzi, E. K. -- Fractional Order Models for Electrochemical Devices / Sabatier, Jocelyn -- Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach / Lenzi, M. K. / Gonçalves, G. / Silva, F. R. G. B. / Zola, R. S. / Ribeiro, H. V. / Rossato, R. / Lenzi, E. K. -- Application of Fractional Calculus to Epidemiology / Atangana, Abdon -- On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval / Bhrawy, A.H. / Taha, T.M. / Abdelkawy, M.A. / Hafez, R.M. -- From Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt / Liu, Hong-Yan / He, Ji-Huan -- Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives / Segi Rahmat, Mohamad Rafi / Baleanu, Dumitru / Yang, Xiao-Jun -- Approximate Methods for Local Fractional Differential Equations / Srivastava, H. M. / Tenreiro Machado, J. A. / Yang, Xiao-Jun -- Numerical Solutions for ODEs with Local Fractional Derivative / Yang, Xiao-Jun / Baleanu, Dumitru / Tenreiro Machado, J. A. -- Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer / Yang, Xiao-Jun / Cattani, Carlo / Xie, Gongnan -- Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative / Jafari, Hossein / Jassim, Hassan Kamil / Tauseef Mohyud-Din, Syed -- Calculus on Fractals / Golmankhaneh, Alireza K. / Baleanu, D. -- Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method / Mehmet Baskonus, Haci / Bin Muhammad Belgacem, Fethi / Bulut, Hasan -- Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design / Mekkaoui, Toufik / Hammouch, Zakia / Belgacem, Fethi B.M. / El Abbassi, Ahmed -- Fractional Derivative of the Riemann Zeta Function / Guariglia, E. -- A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications / Bin Muhammad Belgacem, Fethi / Gulati, Vartika / Goswami, Pranay / Aljoujiee, Abdullah Description based on print version record. Fractional calculus. Fractional dynamics. fractional calculus. nonlinear analysis. nonlinear dynamics. Cattani, Carlo, 1954- editor. Srivastava, H. M., editor. Yang, Xiao-Jun, editor. 3-11-047208-2 |
language |
English |
format |
eBook |
author |
Srivastava, Hari M. |
spellingShingle |
Srivastava, Hari M. Fractional dynamics / Frontmatter -- Contents -- Fractional Dynamics / Local Fractional Calculus on Shannon Wavelet Basis / Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality / Temporal Patterns in Earthquake Data-series / An Integral Transform arising from Fractional Calculus / Approximate Solutions to Time-fractional Models by Integral-balance Approach / A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions / Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface / Fractional Order Models for Electrochemical Devices / Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach / Application of Fractional Calculus to Epidemiology / On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval / From Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt / Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives / Approximate Methods for Local Fractional Differential Equations / Numerical Solutions for ODEs with Local Fractional Derivative / Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer / Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative / Calculus on Fractals / Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method / Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design / Fractional Derivative of the Riemann Zeta Function / A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications / |
author_facet |
Srivastava, Hari M. Cattani, Carlo, 1954- Srivastava, H. M., Yang, Xiao-Jun, |
author_variant |
h m s hm hms |
author2 |
Cattani, Carlo, 1954- Srivastava, H. M., Yang, Xiao-Jun, |
author2_variant |
c c cc h m s hm hms x j y xjy |
author2_role |
TeilnehmendeR TeilnehmendeR TeilnehmendeR |
author_sort |
Srivastava, Hari M. |
author_additional |
Cattani, Carlo / Srivastava, H. M. / Yang, Xiao-Jun -- Cattani, Carlo -- Tarasov, Vasily E. -- Lopes, António M. / Tenreiro Machado, J.A. -- Asada, Akira -- Hristov, Jordan -- Ahmad, Bashir / Alsaedi, Ahmed / Al-Hutami, Hana -- Lenzi, M. K. / Gonçalves, G. / Leitoles, D. P. / Lenzi, E. K. -- Sabatier, Jocelyn -- Lenzi, M. K. / Gonçalves, G. / Silva, F. R. G. B. / Zola, R. S. / Ribeiro, H. V. / Rossato, R. / Lenzi, E. K. -- Atangana, Abdon -- Bhrawy, A.H. / Taha, T.M. / Abdelkawy, M.A. / Hafez, R.M. -- Liu, Hong-Yan / He, Ji-Huan -- Segi Rahmat, Mohamad Rafi / Baleanu, Dumitru / Yang, Xiao-Jun -- Srivastava, H. M. / Tenreiro Machado, J. A. / Yang, Xiao-Jun -- Yang, Xiao-Jun / Baleanu, Dumitru / Tenreiro Machado, J. A. -- Yang, Xiao-Jun / Cattani, Carlo / Xie, Gongnan -- Jafari, Hossein / Jassim, Hassan Kamil / Tauseef Mohyud-Din, Syed -- Golmankhaneh, Alireza K. / Baleanu, D. -- Mehmet Baskonus, Haci / Bin Muhammad Belgacem, Fethi / Bulut, Hasan -- Mekkaoui, Toufik / Hammouch, Zakia / Belgacem, Fethi B.M. / El Abbassi, Ahmed -- Guariglia, E. -- Bin Muhammad Belgacem, Fethi / Gulati, Vartika / Goswami, Pranay / Aljoujiee, Abdullah |
title |
Fractional dynamics / |
title_full |
Fractional dynamics / Carlo Cattani, Hari M. Srivastava, Xiao-Jun Yang (eds.). |
title_fullStr |
Fractional dynamics / Carlo Cattani, Hari M. Srivastava, Xiao-Jun Yang (eds.). |
title_full_unstemmed |
Fractional dynamics / Carlo Cattani, Hari M. Srivastava, Xiao-Jun Yang (eds.). |
title_auth |
Fractional dynamics / |
title_alt |
Frontmatter -- Contents -- Fractional Dynamics / Local Fractional Calculus on Shannon Wavelet Basis / Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality / Temporal Patterns in Earthquake Data-series / An Integral Transform arising from Fractional Calculus / Approximate Solutions to Time-fractional Models by Integral-balance Approach / A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions / Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface / Fractional Order Models for Electrochemical Devices / Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach / Application of Fractional Calculus to Epidemiology / On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval / From Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt / Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives / Approximate Methods for Local Fractional Differential Equations / Numerical Solutions for ODEs with Local Fractional Derivative / Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer / Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative / Calculus on Fractals / Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method / Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design / Fractional Derivative of the Riemann Zeta Function / A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications / |
title_new |
Fractional dynamics / |
title_sort |
fractional dynamics / |
publisher |
De Gruyter De Gruyter Open, |
publishDate |
2015 |
physical |
1 online resource (392 pages) : illustrations |
edition |
1st ed. |
contents |
Frontmatter -- Contents -- Fractional Dynamics / Local Fractional Calculus on Shannon Wavelet Basis / Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality / Temporal Patterns in Earthquake Data-series / An Integral Transform arising from Fractional Calculus / Approximate Solutions to Time-fractional Models by Integral-balance Approach / A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions / Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface / Fractional Order Models for Electrochemical Devices / Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach / Application of Fractional Calculus to Epidemiology / On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval / From Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt / Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives / Approximate Methods for Local Fractional Differential Equations / Numerical Solutions for ODEs with Local Fractional Derivative / Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer / Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative / Calculus on Fractals / Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method / Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design / Fractional Derivative of the Riemann Zeta Function / A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications / |
isbn |
3-11-047071-3 3-11-047209-0 3-11-047208-2 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA314 |
callnumber-sort |
QA 3314 F733 42015 |
illustrated |
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 |
oclc_num |
979754287 980172462 939265229 |
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M. / Yang, Xiao-Jun -- </subfield><subfield code="t">Local Fractional Calculus on Shannon Wavelet Basis / </subfield><subfield code="r">Cattani, Carlo -- </subfield><subfield code="t">Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality / </subfield><subfield code="r">Tarasov, Vasily E. -- </subfield><subfield code="t">Temporal Patterns in Earthquake Data-series / </subfield><subfield code="r">Lopes, António M. / Tenreiro Machado, J.A. -- </subfield><subfield code="t">An Integral Transform arising from Fractional Calculus / </subfield><subfield code="r">Asada, Akira -- </subfield><subfield code="t">Approximate Solutions to Time-fractional Models by Integral-balance Approach / </subfield><subfield code="r">Hristov, Jordan -- </subfield><subfield code="t">A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions / </subfield><subfield code="r">Ahmad, Bashir / Alsaedi, Ahmed / Al-Hutami, Hana -- </subfield><subfield code="t">Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface / </subfield><subfield code="r">Lenzi, M. K. / Gonçalves, G. / Leitoles, D. P. / Lenzi, E. K. -- </subfield><subfield code="t">Fractional Order Models for Electrochemical Devices / </subfield><subfield code="r">Sabatier, Jocelyn -- </subfield><subfield code="t">Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach / </subfield><subfield code="r">Lenzi, M. K. / Gonçalves, G. / Silva, F. R. G. B. / Zola, R. S. / Ribeiro, H. V. / Rossato, R. / Lenzi, E. K. -- </subfield><subfield code="t">Application of Fractional Calculus to Epidemiology / </subfield><subfield code="r">Atangana, Abdon -- </subfield><subfield code="t">On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval / </subfield><subfield code="r">Bhrawy, A.H. / Taha, T.M. / Abdelkawy, M.A. / Hafez, R.M. -- </subfield><subfield code="t">From Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt / </subfield><subfield code="r">Liu, Hong-Yan / He, Ji-Huan -- </subfield><subfield code="t">Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives / </subfield><subfield code="r">Segi Rahmat, Mohamad Rafi / Baleanu, Dumitru / Yang, Xiao-Jun -- </subfield><subfield code="t">Approximate Methods for Local Fractional Differential Equations / </subfield><subfield code="r">Srivastava, H. M. / Tenreiro Machado, J. A. / Yang, Xiao-Jun -- </subfield><subfield code="t">Numerical Solutions for ODEs with Local Fractional Derivative / </subfield><subfield code="r">Yang, Xiao-Jun / Baleanu, Dumitru / Tenreiro Machado, J. A. -- </subfield><subfield code="t">Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer / </subfield><subfield code="r">Yang, Xiao-Jun / Cattani, Carlo / Xie, Gongnan -- </subfield><subfield code="t">Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative / </subfield><subfield code="r">Jafari, Hossein / Jassim, Hassan Kamil / Tauseef Mohyud-Din, Syed -- </subfield><subfield code="t">Calculus on Fractals / </subfield><subfield code="r">Golmankhaneh, Alireza K. / Baleanu, D. -- </subfield><subfield code="t">Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method / </subfield><subfield code="r">Mehmet Baskonus, Haci / Bin Muhammad Belgacem, Fethi / Bulut, Hasan -- </subfield><subfield code="t">Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design / </subfield><subfield code="r">Mekkaoui, Toufik / Hammouch, Zakia / Belgacem, Fethi B.M. / El Abbassi, Ahmed -- </subfield><subfield code="t">Fractional Derivative of the Riemann Zeta Function / </subfield><subfield code="r">Guariglia, E. -- </subfield><subfield code="t">A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications / </subfield><subfield code="r">Bin Muhammad Belgacem, Fethi / Gulati, Vartika / Goswami, Pranay / Aljoujiee, Abdullah</subfield></datafield><datafield tag="588" ind1=" " ind2=" "><subfield code="a">Description based on print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Fractional calculus.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fractional dynamics.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fractional calculus.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">nonlinear analysis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">nonlinear dynamics.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cattani, Carlo,</subfield><subfield code="d">1954-</subfield><subfield code="e">editor.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Srivastava, H. 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