Fractional differential equations related to an integral operator involving the incomplete I‐function as a kernel
In this study, we present and examine a fractional integral operator with an II‐function in its
kernel. This operator is used to solve several fractional differential equations (FDEs). FDE …
kernel. This operator is used to solve several fractional differential equations (FDEs). FDE …
A study of incomplete I-functions relating to certain fractional integral operators
S Bhatter, Nishant, Shyamsunder… - … in Science and …, 2023 - Taylor & Francis
The study discussed in this article is driven by the realization that many physical processes
may be understood by using applications of fractional operators and special functions. In this …
may be understood by using applications of fractional operators and special functions. In this …
A Sheffer Extension of the General Leibniz Product rule for Fractional Indices and Applications
R Wilis - Available at SSRN 4584234, 2023 - papers.ssrn.com
This paper presents a reformulation of the Leibniz product rule as a finite sum that expresses
the fractional derivative of the product of two differentiable functions. This paper then proves …
the fractional derivative of the product of two differentiable functions. This paper then proves …
An Algebraic Extension of the General Leibniz Product rule for Fractional Indices and Applications
R Wilis - arXiv preprint arXiv:2403.09643, 2023 - arxiv.org
This paper presents a reformulation of the Leibniz product rule as a finite sum that expresses
the fractional derivative of the product of two differentiable functions. This paper then proves …
the fractional derivative of the product of two differentiable functions. This paper then proves …
Applications of General Summation Formulas Contiguous to q-Kummer Theorems
Y Vyas, S Pathak, K Fatawat - International workshop of Mathematical …, 2022 - Springer
This work is motivated essentially by the fact that the applications of basic (or q-)
hypergeometric functions are frequently needed in the form of summations, transformations …
hypergeometric functions are frequently needed in the form of summations, transformations …
On a Class of Macrobert's Type Finite Integrals Involving Generalized Hypergeometric Functions
V Kulkarni, Y Vyas, AK Rathie - International workshop of Mathematical …, 2022 - Springer
The classical hypergeometric summation theorems have a significant role in the theory of
generalized hypergeometric functions. Over the years generalization and extension of …
generalized hypergeometric functions. Over the years generalization and extension of …