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 . 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.
Agarwal, Ritu; Jain, Sonal; and P. Agarwal, R.
"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
, Article 1.
Available at: https://dc.naturalspublishing.com/pfda/vol1/iss3/1