Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions

Dumrongpokaphan, Thongchai; Patanarapeelert, Nichaphat; Sitthiwirattham, Thanin

doi:10.3390/math7010015

Cited by 4 publications

(2 citation statements)

References 31 publications

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“…In 2020, Soontharanon and Sitthiwirattham [33] introduced fractional (p, q)-calculus and its properties. For some recent developments in fractional calculus, see [34][35][36][37][38][39][40][41][42][43][44][45] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem

2021

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The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem into a fixed point problem by considering a linear variant of the problem. When the fixed point operator is available, Banach and Schauder’s fixed point theorems are used to prove the existence results of our problem. Some properties of (q,ω)-integral are also presented in this paper as a tool for our calculations. Finally, an example is also constructed to illustrate the main results.

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Section: Introductionmentioning

confidence: 99%

Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem

2021

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“…Recently, Brikshavana and Sitthiwirattham [15] introduced fractional Hahn difference operators. The boundary value problems for fractional Hahn difference equations were subsequently studied by many researchers (see [16][17][18][19]).…”

Section: Introductionmentioning

confidence: 99%