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EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR
Journal article   Open access  Peer reviewed

EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR

Hasib Khan, Cemil Tunc, Wen Chen, Aziz Khan and 3 Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080 Van, Turkey
Journal of applied analysis and computation, Vol.8(4), pp.1211-1226
01/08/2018
DOI: https://doi.org/10.11948/2018.1211

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with p-Laplacian operator. For these aims, we take help from topological degree theory and Leray Schauder-type fixed point theorem. An example is provided to illustrate the results.
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https://doi.org/10.11948/2018.1211View
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