STUDY OF COUPLED SYSTEM OF FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA THE PRIOR ESTIMATE METHOD

Anwar Ali (), Muhammad Sarwar (), Kamal Shah and Thabet Abdeljawad
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Anwar Ali: Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan
Muhammad Sarwar: Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan
Kamal Shah: Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan2Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia3Department of Medical Research, China Medical University, Taichung 40402, Taiwan

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-11

Abstract: The purpose of this paper is to establish some sufficient conditions needed for the existence and uniqueness of solutions to the coupled system of fractional hybrid differential equations (FHDEs). We make use of the prior estimate method to support the main results. An example is also provided to justify our main results.

Keywords: Boundary Value Problem; Fractional Hybrid Differential Equations; Existence Results; Topological Degree Theory (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402137

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