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On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative
Journal article   Peer reviewed

On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative

E. M. Elsayed, S. Harikrishnan and K. Kanagarajan
Acta mathematica scientia, Vol.39(6), pp.1568-1578
01/11/2019
DOI: https://doi.org/10.1007/s10473-019-0608-5

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer's fixed point theorem, Banach contraction principle and Ulam type stability.

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