Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Autor: Dhawan Kanika, Vats Ramesh Kumar, Agarwal Ravi P.
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 1, Pp 191-217 (2022)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2022-0011
Popis: In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and uniqueness of the solution of the proposed problem in the weighted space of continuous functions. For the defined problem, sufficient conditions have also been developed to determine the Ulam stability of the solution. The key conclusions are well-illustrated with examples.
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