Authors: Praveen Agarwal, Shilpi Jain

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

eBook: US $69 Special Offer (PDF + Printed Copy): US $119
Printed Copy: US $84
Library License: US $276
ISBN: 978-981-5079-34-0 (Print)
ISBN: 978-981-5079-33-3 (Online)
Year of Publication: 2023
DOI: 10.2174/97898150793331230101


In recent years, special functions have been developed and applied in a variety of fields, such as combinatory, 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. are demonstrated by 15 chapters. Many chapters highlight the importance of fundamental results and techniques of the theory of complex analysis for partial differential equations Contributions emphasize articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and 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


Mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems.


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