Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering

✍ Scribed by Praveen Agarwal, Shilpi Jain

• Publisher: Bentham Science Publishers
• Year: 2023
• Tongue: English
• Leaves: 304
• Category: Library

✦ Synopsis

In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties.

This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the importance of numerical techniques and the results of complex analysis. Contributions in the book emphasize the mathematical treatment of questions arising in natural sciences and engineering, particularly those that involve novel problems and their solutions.

This volume is a timely update for mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems


List of Chapters

1. Modified Adaptive Synchronization and Anti Synchronization method for Fractional order chaotic systems with uncertain parameters

2. Improved generalized differential transform method for a class of linear non homogeneous ordinary fractional differential equation

3. Incomplete K2-Function

4. Some Results On Incomplete Hypergeometric Functions

5. Transcendental Bernstein Series: Interpolation and Approximation

6. Some Sufficient Conditions For Uniform Convexity Of Normalized 1F2 Function

7. From Abel continuity theorem to Paley-Wiener theorem…

8. A New Class of Truncated Exponential-Gould-Hopper basedGenocchi Polynomials

9. Computational preconditioned Gauss-Seidel via half-sweep approximation to Caputo's time fractional differential equations

10. Krasnoselskii-type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion

11. General fractional order quadratic functional integral equations: Existence, properties of solutions and some of its Applications

12.Nonlinear set-valued delay functional integral equations of Volterra-Stieltjes type: Existence of solutions, continuous dependence and applications

13.Certain Saigo Fractional Derivatives Of Extended Hypergeometric Functions

14. Some Erdelyi-kober Fractional Integrals Of The Extended Hypergeometric Functions

15. On solutions of Kinetic Model by Sumudu transform

✦ Table of Contents

Cover
Title
Copyright
End User License Agreement
Contents
Preface
List of Contributors
Modified Adaptive Synchronization and Anti-Synchronization Method for Fractional OrderChaotic Systems with Uncertain Parameters
Improved Generalized Differential TransformMethod for a Class of Linear NonhomogeneousOrdinary Fractional Differential Equations
Incomplete K2-function
Some Results on Incomplete HypergeometricFunctions
Transcendental Bernstein Series: Interpolation andApproximation
Some Sufficient Conditions for Uniform Convexityof Normalized 1F2 Function
From Abel Continuity Theorem to Paley-WienerTheorem
A New Class of Truncated Exponential-Gould-Hopper-based Genocchi Polynomials
Computational Preconditioned Gauss-Seidel viaHalf-Sweep Approximation to Caputo's Time-Fractional Differential Equations
Krasnoselskii-type Theorems for MonotoneOperators in Ordered Banach Algebra withApplications in Fractional Differential Equationsand Inclusion
General Fractional Order Quadratic FunctionalIntegral Equations: Existence, Properties ofSolutions, and Some of their Applications
Non-linear Set-Valued Delay Functional IntegralEquations of Volterra-Stieltjes Type: Existenceof Solutions, Continuous Dependence and Applications
Certain Saigo Fractional Derivatives of ExtendedHypergeometric Functions
Some Erdélyi-Kober Fractional Integrals of theExtended Hypergeometric Functions
On Solutions of the Kinetic Model by SumuduTransform
Subject Index
Back Cover