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Lachouri, Adel; Ardjouni, Abdelouaheb; Djoudi, Ahcene

Existence and uniqueness of solutions for fractional relaxation integro-differential equations with boundary conditions. (English) Zbl 07524414

Facta Univ., Ser. Math. Inf. 37, No. 1, 211-221 (2022).
Summary: The aim of this paper is to study the existence and uniqueness of solutions for nonlinear fractional relaxation integro-differential equations with boundary conditions. Some results about the existence and uniqueness of solutions are established by using the Banach contraction mapping principle and the Schauder fixed point theorem. An example is provided which illustrates the theoretical results.

MSC:

45J05 Integro-ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
26A33 Fractional derivatives and integrals

Keywords:

fractional relaxation; Riemann-Liouville fractional derivative; Liouville-Caputo fractional derivative; existence; uniqueness; fixed point
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\textit{A. Lachouri} et al., Facta Univ., Ser. Math. Inf. 37, No. 1, 211--221 (2022; Zbl 07524414)
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References:

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