Ulam stabilities for a class of nonlinear mixed fractional integro--differential equations

Vinod Vijaykumar Kharat; Shivaji Ramchandra Tate

Vinod Vijaykumar Kharat N. B. Navale Sinhgad College of Engg., Kegaon, P. A. H. Solapur University, Solapur-413255, Maharashtra, India
Shivaji Ramchandra Tate Kisan Veer Mahavidyalaya, Wai

Abstract

The aim of this study is to investigate stabilities of Ulam- Hyers, Ulam-Hyers-Rassias and semi-Ulam-Hyers-Rassias on closed interval [a,b] for a class of nonlinear mixed fractional integro-differential equation involving psi -Hilfer fractional derivative. Banach fixed point theorem is used to obtain our main results.

Author Biography

Vinod Vijaykumar Kharat, N. B. Navale Sinhgad College of Engg., Kegaon, P. A. H. Solapur University, Solapur-413255, Maharashtra, India

Asistant Professor, Department of Mathematics, N. B. Navale Sinhgad College of Engg., Kegaon, P. A. H. Solapur University, Solapur-413255, Maharashtra, India