"On Qualitative Analysis for Time-Dependent Semi-Linear Fractional Diff" by Mohammed M. Matar, Jehad Alzabut et al.

Progress in Fractional Differentiation & Applications

Article Title

On Qualitative Analysis for Time-Dependent Semi-Linear Fractional Differential Systems

Authors

Mohammed M. Matar, Department of Mathematics, Al-Azhar University-Gaza, Gaza, PalestineFollow
Jehad Alzabut, Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia\\ Department of Industrial Engineering, OST ̇IM Technical University, Ankara 06374, Tu ̈rkiyeFollow
Mohamed I. Abbas, Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, EgyptFollow
Muath M. Awadallah, Department of Mathematics, King Faisal University, Al Hufuf, Saudi ArabiaFollow
Nazim I. Mahmudov, Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, Tu ̈rkiyeFollow

Author Country (or Countries)

Tu ̈rkiye

Abstract

This paper investigates some qualitative properties of solutions for fractional differential systems. Particularly, we focus on existence, uniqueness, priori bounds, and dependence on parameters for the solution. Reported results are proved via fixed point theorems and Pachpatte inequality. Unlike most of previous results, the existence theorem is proved under non-Lipschitzian condition. This work is supported with an example to validate the obtained results applicability.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080406

Recommended Citation

M. Matar, Mohammed; Alzabut, Jehad; I. Abbas, Mohamed; M. Awadallah, Muath; and I. Mahmudov, Nazim (2022) "On Qualitative Analysis for Time-Dependent Semi-Linear Fractional Differential Systems," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 4, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/080406
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss4/6

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