Existence Of Positive Solutions To a Coupled System Of Fractional Hybrid Differential Equations

Ghulam Hussain (), Muhammad Irfaq Khan and Muhammad Iqbal
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Ghulam Hussain: Department of Mathematics, University of Malakand, Chakadara Dir (L), Khyber Pakhtunkhwa, Pakistan
Muhammad Irfaq Khan: Department of Mathematics, University of Malakand, Chakadara Dir (L), Khyber Pakhtunkhwa, Pakistan
Muhammad Iqbal: Department of Mathematics, University of Malakand, Chakadara Dir (L), Khyber Pakhtunkhwa, Pakistan

Matrix Science Mathematic (MSMK), 2018, vol. 2, issue 1, 9-12

Abstract: where Dα is the Caputo’s fractional derivative of order α ,1 0 and the functions f : j × R × R → R , f (0,0) = 0 and g : j × R× R → R satisfy certain conditions. The proof of the existence theorem is based on a coupled fixed-point theorem of Krasnoselskii type, which extends a fixed-point theorem of Burton. Finally, our results are illustrated by providing a counter example.

Keywords: Hybrid boundary value problem; Banach space; Coupled fixed point theorem; Caputo's fractional derivative (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:2:y:2018:i:1:p:9-12

DOI: 10.26480/msmk.01.2018.09.12

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