"Solution of Fractional Volterra Integral Equation and Non-Homogeneous " by Ritu Agarwal, Sonal Jain et al.

Progress in Fractional Differentiation & Applications

Article Title

Solution of Fractional Volterra Integral Equation and Non-Homogeneous Time Fractional Heat Equation using Integral Transform of Pathway Type

Authors

Ritu Agarwal, Malaviya National Institute of Technology, Jaipur-302017, India
Sonal Jain
R. P. Agarwal

Author Country (or Countries)

India

Abstract

The aim of the present paper is to obtain the solution of certain integral equations by using Pa -transform. The concept of Pa -transform is introduced by Kumar [11]. The Pa -transform is binomial type containing many classes of transforms including the Laplace transform. We have found the solution of fractional Volterra equation with Caputo fractional derivative using Pa -transform. Also the solution of non-homogeneous time fractional heat equation in spherical domain with Caputo derivative has been found. The results for the classical Laplace transform are retrieved by letting a →1.

Suggested Reviewers

N/A

Recommended Citation

Agarwal, Ritu; Jain, Sonal; and P. Agarwal, R. (2015) "Solution of Fractional Volterra Integral Equation and Non-Homogeneous Time Fractional Heat Equation using Integral Transform of Pathway Type," Progress in Fractional Differentiation & Applications: Vol. 1: Iss. 3, Article 1.
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol1/iss3/1

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