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

Introduction

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

Audience

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

Contributors

Author(s):
Praveen Agarwal


Shilpi Jain




Contributor(s):
Ahmed M.A. El-Sayed
Department of Mathematics and Computer Science
Faculty of Science
Alexandria University
Alexandria 21526
Egypt


Ali Akgül
Department of Computer Science and Mathematics, Department of Mathematics
Lebanese American University, Siirt University
Art and Science FacultyNear East University
Mathematics Research Center
Near East Boulevard
Beirut56100 SiirtPC: 99138
Nicosia/Mersin
Lebanon, Turkey


Andang Sunarto
Tadris Matematika
Universitas Islam Negeri (UIN) Fatmawati Sukarno
Bengkulu
Indonesia


Ayşegül ÇETİNKAYA1
Deptartment of Mathematics
Ahi Evran University
Kırşehir
Turkey


Clemente Cesarano
Section of Mathematics
International Telematic University Uninettuno
Corso Vittorio Emanuele II
39, 00186 Roma
Italy


D. Datta
SRM Institute of Science and Technology
Bharathi Salai
Ramapuram
Chennai
India


Deepak Bansal
Department of Mathematics
University College of Engineering and Technology
Bikaner Technical University
Bikaner
Rajasthan
India


Dharmendra Kumar Singh
Department of Mathematics
University Institute of Engineering and Technology
CSJM University
Kanpur
India


E. Naraghirad
Department of Mathematics
Yasouj University
Yasouj
Iran


Esra Karatas Akgül
Department of Mathematics
Siirt University, Art and Science Faculty
56100 Siirt
Turkey


Fethi Bin Muhammed Belgacem
Department of Mathematics
Faculty of Basic Education
PAAET
Al-Ardhiya
Kuwait


Geeta Yadav
Department of Mathematics
University Institute of Engineering and Technology
CSJM University
Kanpur
India


Ghazala Yasmin
Department of Applied Mathematics
Faculty of Engineering and Technology
Aligarh Muslim University
Aligarh-202002
India


H. Hassani
Department of Mathematics
Anand International College of Engineering
Jaipur 303012
India


Hibah Islahi
Institute of Applied Sciences
Mangalayatan University
Aligarh-202145
India


Hind H.G. Hashem
College of Science
Qassim University
P.O. Box 6644
Buraidah 51452
Saudi Arabia


J.A. Tenreiro Machado3
Institute of Engineering
Polytechnic of Porto
Dept. of Electrical Engineering
R. Dr. António Bernardino de Almeida
Porto 431
Portugal


Jackel Vui Lung Chew
Faculty of Computing and Informatics
Universiti Malaysia Sabah Labuan International Campus
Labuan, 87000
Malaysia


Jumat Sulaiman
Universiti Malaysia Sabah
Faculty of Science and Natural Resources
Kota Kinabalu
Malaysia


Lalit Batra
Dept. of Applied Sciences
Bharati Vidyapeeth’s College of Engineering
New Delhi
India


Nayyar Mehmood
Department of Mathematics
& Statistics International Islamic University H-10
Islamabad
Pakistan


Niaz Ahmad
Department of Mathematics
& Statistics International Islamic University H-10
Islamabad
Pakistan


P. Agarwal
Department of Mathematics
Anand International College of Engineering
Jaipur 303012
India


R. Goyal
Department of Mathematics
Anand International College of Engineering
Jaipur 303012
India


S. Yu
Taishan College
Shandong University
Jinan, 250110
P.R.China


S. Kanemitsu
KSCSTE-Kerala School of Mathematics
Kunnamangalam
Kozhikode
Kerala
India


S. Jain
Department of Mathematics
Poornima College of Engineering
Jaipur 302022
India


S.K. Agrawal
Dept. of Applied Sciences
Bharati Vidyapeeth’s College of Engineering
New Delhi
India


Sh. M Al-Issa
Faculty of Arts and Sciences
Department of MathematicsFaculty of Arts and Sciences
Department of Mathematics
Lebanese International University
International University of Beirut
Saida Beirut
Lebanon


Shilpi Jain
Department of Mathematics
Poornima College of Engineering
Jaipur
India


V. Mishra
Dept. of Mathematics
Thakur College of Engineering and Technology
Mumbai
India


Vijay Laxmi Verma
Department of Mathematics
University Institute of Engineering and Technology
CSJM University
Kanpur
India


Y. M. Y. Omar
Faculty of Science
Omar Al-Mukhtar University
Libya


Z. Avazzadeh
Department of Mathematical Sciences
University of South Africa
Florida
South Africa


İ. Onur KIYMAZ
Deptartment of Mathematics
Ahi Evran University
Kırşehir
Turkey