Some applications of Wright functions in fractional differential equations

TL;DR

This paper explores the use of Wright functions of the first kind to solve fractional differential equations with variable coefficients and derives new particular solutions for nonlinear fractional PDEs.

Contribution

It introduces novel methods employing Wright functions for solving variable coefficient fractional differential equations and provides new particular solutions for nonlinear cases.

Findings

New results on Wright functions applied to fractional equations

Explicit particular solutions for nonlinear fractional PDEs

Enhanced understanding of fractional differential equations

Abstract

In this note we prove some new results about the application of Wright functions of the first kind to solve fractional differential equations with variable coefficients. Then, we consider some applications of these results in order to obtain some new particular solutions for nonlinear fractional partial differential equations.