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Open AccessArticle

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

1
Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa 18000, Pakistan
2
Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská Dolina, 842 48 Bratislava, Slovakia
3
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 218; https://doi.org/10.3390/math8020218
Received: 6 January 2020 / Revised: 26 January 2020 / Accepted: 4 February 2020 / Published: 8 February 2020
(This article belongs to the Special Issue Functional Differential Equations and Applications)
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 fractional differential equations; existence and uniqueness of solutions; topological degree method
MDPI and ACS Style

Sher, M.; Shah, K.; Fečkan, M.; Khan, R.A. Qualitative Analysis of Multi-Terms Fractional Order Delay Differential Equations via the Topological Degree Theory. Mathematics 2020, 8, 218.

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