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Results for Mild solution of fractional coupled hybrid boundary value problems

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Date

2015

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de Gruyter Poland Sp Z O O

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Matematik
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Abstract

The study of coupled system of hybrid fractional differential equations (HFDEs) needs the attention of scientists for the exploration of its different important aspects. Our aim in this paper is to study the existence and uniqueness of mild solution (EUMS) of a coupled system of HFDEs. The novelty of this work is the study of a coupled system of fractional order hybrid boundary value problems (HBVP) with n initial and boundary hybrid conditions. For this purpose, we are utilizing some classical results, Leray-Schauder Alternative (LSA) and Banach Contraction Principle (BCP). Some examples are given for the illustration of applications of our results.

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Khan, Hasib/0000-0002-7186-8435; Jafari, Hossein/0000-0001-6807-6675; Johnston, Sarah Jane/0000-0002-8942-3012

Keywords

Hybrid Fractional Differential Equations, Existence And Uniqueness Of Mild Solution, Leray-Schauder Alternative, Banach Contraction Principle

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Baleanu, Dumitru...et al. (2015). "Results for Mild solution of fractional coupled hybrid boundary value problems", Open Mathematics, Vol.13, pp.601-608.

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Q1

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Q1

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Volume

13

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601

End Page

608