Properties of Certain Volterra type ABC Fractional Integral Equations

Open Access

Original research article

Author(s):

Deepak B. Pachpatte^a, Juan J. Nieto^b

^a Department of Mathematics, Dr. B. A. M. University, Aurangabad, Maharashtra 431004, India.
^b Instituto de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain.

Advances in the Theory of Nonlinear Analysis and its Applications 6 (3), 339-346.

Received: January 21, 2022

Accepted: April 18, 2022

Published: April 20, 2022

Abstract

In this paper, we study existence, uniqueness, and other properties of solutions of Volterra type ABC fractional integral equations. We have used Banach fixed point theorem with Bielecki type norm and Gronwall inequality in the frame of ABC fractional integral for proving our results.

Keywords: Volterra equation, ABC fractional, existence, fractional Gronwall inequality.

Share & Cite

APA Style

Pachpatte, D., & Nieto, J. (2022). Properties of certain Volterra type ABC fractional integral equations. Advances in the Theory of Nonlinear Analysis and its Application , 6 (3), 339-346.