Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function

This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms...

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Bibliographic Details
Published in:Advances in difference equations Vol. 2020; no. 1; pp. 1 - 14
Main Authors: Nisar, Kottakkaran Sooppy, Suthar, D. L., Agarwal, R., Purohit, S. D.
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 07.04.2020
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications
Difference and Functional Equations
Differential calculus
Differential equations
Extended Mittag-Leffler function
Extended Wright-type hypergeometric functions
Fractional calculus
Functional Analysis
Kernels
Mathematics
Mathematics and Statistics
Methods
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
Polynomials
Srivastava polynomial
Topics in Special Functions and q-Special Functions: Theory
Wright-type hypergeometric functions
33B15
Extended Wright-type hypergeometric functions
33C99
44A10
26A33
Wright-type hypergeometric functions
Extended Mittag-Leffler function
Srivastava polynomial
33C05
ISSN:1687-1847, 1687-1839, 1687-1847
Online Access:Get full text
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Summary:This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms of the extended Wright function. In addition, along with the noted outcomes, the implications are also highlighted.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02610-3