Qualitative Analysis of Multi-Terms Fractional Order Delay Differential Equations via the Topological Degree Theory

Muhammad Sher, Kamal Shah, Michal Fečkan and Rahmat Ali Khan
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Muhammad Sher: Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa 18000, Pakistan
Kamal Shah: Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa 18000, Pakistan
Michal Fečkan: Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská Dolina, 842 48 Bratislava, Slovakia
Rahmat Ali Khan: Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa 18000, Pakistan

Mathematics, 2020, vol. 8, issue 2, 1-13

Abstract: With the help of the topological degree theory in this manuscript, we develop qualitative theory for a class of multi-terms fractional order differential equations (FODEs) with proportional delay using the Caputo derivative. In the same line, we will also study various forms of Ulam stability results. To clarify our theocratical analysis, we provide three different pertinent examples.

Keywords: fractional differential equations; existence and uniqueness of solutions; topological degree method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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