Existence Theory and Stability Analysis of Nonlinear Neutral Pantograph Equations via Hilfer-Katugampola Fractional Derivative
Vol. 7 (2020), Articles
Vol. 7 (2020)

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

Articles
https://doi.org/10.15377/2409-5761.2020.07.1
Published 2020-08-20
S. Harikrishnan
Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India
E.M. Elsayed
King AbdulAziz University, Jeddah 21589, Saudi Arabia
K. Kanagarajan
Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India
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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 & Computational Mathematics, 7, 1–7. https://doi.org/10.15377/2409-5761.2020.07.1
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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.
https://doi.org/10.15377/2409-5761.2020.07.1
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