Nonlinear coupled Liouville-Caputo fractional differential equations with a new class of nonlocal boundary conditions

In this paper, we study a coupled system of nonlinear Liouville-Caputo fractional differential equations equipped with a new set of nonlocal boundary conditions involving an arbitrary strip together with two sets of nonlocal multi-points on either part of the strip on the given domain. We emphasize...

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Published inMathematical notes (Miskolci Egyetem (Hungary)) Vol. 24; no. 1; pp. 31 - 46
Main Authors Ahmad, Bashir, Alsaedi, Ahmed, Alotaibi, Fawziah M., Alghanmi, Madeaha
Format Journal Article
LanguageEnglish
Published Miskolc University of Miskolc 2023
Subjects
Boundary conditions
Differential equations
Fixed points (mathematics)
Fractional calculus
Mathematical analysis
Strip
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ISSN1787-2405
1586-8850
1787-2413
1787-2413
DOI10.18514/MMN.2023.3839

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Summary:In this paper, we study a coupled system of nonlinear Liouville-Caputo fractional differential equations equipped with a new set of nonlocal boundary conditions involving an arbitrary strip together with two sets of nonlocal multi-points on either part of the strip on the given domain. We emphasize that the boundary conditions considered in this study are formulated with respect to the sum and difference of the unknown functions. We apply the well-known tools of the fixed point theory to derive the main results. Examples are presented for the illustration of the obtained results.
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ISSN:1787-2405
1586-8850
1787-2413
1787-2413
DOI:10.18514/MMN.2023.3839