Fractional calculus in abstract space and its application in fractional Dirichlet type problems

Pei-chen, Zhao; Qi, Yue

doi:10.1016/j.chaos.2019.04.016

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Cited by 5 publications

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“…where M is the constant given by (10). Then, the (T , a)-affine-periodic system (1) admits at least one solution on [0,T ].…”

Section: Resultsmentioning

confidence: 99%

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The Existence and Uniqueness of Solution to Sequential Fractional Differential Equation with Affine Periodic Boundary Value Conditions

Gao

2022

Symmetry

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The solution to a sequential fractional differential equation with affine periodic boundary value conditions is investigated in this paper. The existence theorem of solution is established by means of the Leray–Schauder fixed point theorem and Krasnoselskii fixed point theorem. What is more, the uniqueness theorem of solution is demonstrated via Banach contraction mapping principle. In order to illustrate the main results, two examples are listed.

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“…where M is the constant given by (10). Then, the (T , a)-affine-periodic system (1) admits at least one solution on [0,T ].…”

Section: Resultsmentioning

confidence: 99%

“…More and more scholars pay attention to this subject and achieve many excellent results. For instance, see [5][6][7][8][9][10][11] and the references therein. There are many types of boundary value problem, including the integral boundary value problem, multipoint boundary value problem, and periodic boundary value problem.…”

Section: Introductionmentioning

confidence: 99%