Existence Theory and Stability Analysis of Nonlinear Neutral Pantograph Equations via Hilfer-Katugampola Fractional Derivative

## Keywords

Hilfer-Katugampola fractional derivative, Neutral pantograph equation, Existence, Stability, Fixed point.

## How to Cite

S. Harikrishnan, E.M. Elsayed, & K. Kanagarajan. (2020). Existence Theory and Stability Analysis of Nonlinear Neutral Pantograph Equations via Hilfer-Katugampola Fractional Derivative. Journal of Advances in Applied &Amp; Computational Mathematics, 7, 1–7. https://doi.org/10.15377/2409-5761.2020.07.1

## Abstract

The aim and objectives of this paper are devoted to study some adequate results for the existence and stability of solutions of nonlinear neutral pantograph equations with Hilfer-Katugampola fractional derivative. The arguments are based upon Schauder fixed point theorem and Banach contraction principle. Further, we also study the Ulam type stability for proposed problem.

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