On a coupled system of fractional sum-difference equations with p-Laplacian operator

Siricharuanun, Pimchana; Chasreechai, Saowaluck; Sitthiwirattham, Thanin

doi:10.1186/s13662-020-02826-3

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“…Basic definitions and properties of fractional difference calculus were presented in [4], and discrete fractional boundary value problems have been found in . However, the studies of a system of fractional boundary value problems are quite rare (see [34][35][36][37][38][39][40][41][42]).…”

Section: Introductionmentioning

confidence: 99%

Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters

2020

Self Cite

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Section: Introductionmentioning

confidence: 99%

Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters

2020

Self Cite

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Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator

Kenef¹,

Merzoug

Guezane-Lakoud

2023

Arab. J. Math.

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In this paper, we study a nonlinear fractional p-Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo fractional derivatives with initial and integral conditions. Some new results on the existence and uniqueness of a solution for the model are obtained as well as the Ulam stability of the solutions. Two examples are provided to show the applicability of our results.

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Existence results of sequential fractional Caputo sum-difference boundary value problem

Metpattarahiran¹,

Linitda²,

Sitthiwirattham

2022

MATH

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<abstract><p>In this article, we study the existence and uniqueness results for a sequential nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and Schaefer's fixed point theorem. Furthermore, we also show the existence of a positive solution. Our problem contains different orders and four fractional difference operators. Finally, we present an example to display the importance of these results.</p></abstract>

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On a coupled system of fractional sum-difference equations with p-Laplacian operator

Cited by 3 publications

References 33 publications

Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters

Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters

Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator

Existence results of sequential fractional Caputo sum-difference boundary value problem

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