Nonlocal Initial Value Problems For Nonlinear Neutral Pantograph Equations With Hilfer-Hadamard Fractional Derivative

Authors

D. Vivek, Department of Mathematics, PSG College of Arts & Science, Coimbatore-641014, IndiaFollow
E. M. Elsayed, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaFollow
K. Kanagarajan, Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, IndiaFollow

Abstract

In this article, we study the existence and Ulam stability of solutions for Hilfer-Hadamard fractional type nonlinear neutral pantograph equations with nonlocal conditions. The Scheafer’s fixed point theorem and Banach contraction principle are used to obtain the desired results.

Recommended Citation

Vivek, D.; M. Elsayed, E.; and Kanagarajan, K. (2021) "Nonlocal Initial Value Problems For Nonlinear Neutral Pantograph Equations With Hilfer-Hadamard Fractional Derivative," Information Sciences Letters: Vol. 10 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss1/13