Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus
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Published By BENTHAM SCIENCE PUBLISHERS

9781681085999

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Fractional Order Nonlinear Systems: Some Open Problems in Numerical Computations and Chaos Theory

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010014 ◽

2018 ◽

pp. 342-347

Author(s):

Sachin Bhalekar

Keyword(s):

Nonlinear Systems ◽

Fractional Order ◽

Chaos Theory ◽

Numerical Computations ◽

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Dynamics of Fractional Order Modified Bhalekar - Gejji System

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010009 ◽

2018 ◽

pp. 159-182

Author(s):

Sachin Bhalekar

Keyword(s):

Fractional Order

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Monotone Iteration Principle in the Theory of Hadamard Fractional Delay Differential Equations

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010008 ◽

2018 ◽

pp. 132-158

Author(s):

Kishor D. Kucche

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Monotone Iteration ◽

Fractional Delay ◽

Delay Differential ◽

Fractional Delay Differential Equations

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Foreword

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010001 ◽

2018 ◽

pp. i-i

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Integral-Balance Solution to Nonlinear Subdiffusion Equation

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010006 ◽

2018 ◽

pp. 70-105 ◽

Author(s):

Jordan Hristov

Keyword(s):

Balance Solution ◽

Subdiffusion Equation

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Derivatives with Non-Singular Kernels from the Caputo-Fabrizio Definition and Beyond: Appraising Analysis with Emphasis on Diffusion Models

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010013 ◽

2018 ◽

pp. 269-341 ◽

Author(s):

Jordan Hristov

Keyword(s):

Diffusion Models ◽

Singular Kernels

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GPU Computing of Special Mathematical Functions used in Fractional Calculus

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010011 ◽

2018 ◽

pp. 199-232 ◽

Author(s):

Parag Patil ◽

Navin Singhaniya ◽

Chaitanya Jage ◽

Vishwesh A. Vyawahare ◽

Mukesh D. Patil ◽

...

Keyword(s):

Fractional Calculus ◽

Gpu Computing ◽

Mathematical Functions

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A Survey on the Recent Results Regarding Maximum Principles for the Time-Fractional Diffusion Equations

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010005 ◽

2018 ◽

pp. 33-69 ◽

Author(s):

Yuri Luchko ◽

Masahiro Yamamoto

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Maximum Principles ◽

Fractional Diffusion Equations

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List of Contributors

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010003 ◽

2018 ◽

pp. iv-v

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Preface

Current Developments in Mathematical Sciences - Frontiers in Fractional Calculus ◽

10.2174/9781681085999118010002 ◽

2018 ◽

pp. II-III

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