Results 1 to 10 of about 17 (17)
On the mixed fractional quantum and Hadamard derivatives for impulsive boundary value problems
Open Mathematics, 2021 In this work, we initiate the study of a new class of impulsive boundary value problems consisting of mixed type fractional quantum and Hadamard derivatives.
Niyoom Somboon +3 more
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Open Mathematics, 2022 While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
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Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Open Mathematics, 2022 We are concerned with Dirichlet problems of impulsive differential equations −u″(x)−λu(x)+g(x,u(x))+∑j=1pIj(u(x))δ(x−yj)=f(x)for a.e.x∈(0,π),u(0)=u(π)=0,\left\{\begin{array}{l}-{u}^{^{\prime\prime} }\left(x)-\lambda u\left(x)+g\left(x,u\left(x))+\mathop{\
Ma Mantang, Ma Ruyun
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Nonmonotone impulse effects in second‐order periodic boundary value problems
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 577-590, 2004., 2004 We deal with the nonlinear impulsive periodic boundary value problem u″ = f(t, u, u′), u(ti+) = Ji(u(ti)), u′(ti+) = Mi(u′(ti)), i = 1, 2, …, m, u(0) = u(T), u′(0) = u′(T). We establish the existence results which rely on the presence of a well‐ordered pair (σ1, σ2) of lower/upper functions (σ1 ≤ σ2 on [0, T]) associated with the problem.
Irena Rachůnková, Milan Tvrdý
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Mild solution of fractional order differential equations with not instantaneous impulses
Open Mathematics, 2015 In this paper, we investigate the boundary value problems of fractional order differential equations with not instantaneous impulse. By some fixed-point theorems, the existence results of mild solution are established.
Li Pei-Luan, Xu Chang-Jin
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Positive solutions of nth-order impulsive differential equations with integral boundary conditions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper is concerned with the existence and nonexistence of positive solutions of nth-order impulsive boundary value problem with integral boundary conditions.
Tokmak Fen Fatma, Yaslan Karaca Ilkay
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Advances in Nonlinear Analysis, 2017 In this paper, we present a new method for converting boundary value problems of impulsive fractional differential equations to integral equations. Applications of this method are given to solve some types of anti-periodic boundary value problems for ...
Liu Yuji
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Demonstratio MathematicaWe investigate a class of fourth-order differential system with instantaneous and non-instantaneous impulses. Our technical approach is mainly based on a variant of Clark’s theorem without the global assumptions.
Kang Lijuan, Zhang Xingyong, Liu Cuiling
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Fractional Sturm-Liouville operators on compact star graphs
Demonstratio MathematicaIn this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
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On a nonlinear boundary value problems with impulse action
Open MathematicsIn this work, a boundary value problems for a system of nonlinear ordinary differential equations that incorporates impulsive actions is considered.
Tleulessova Agila B. +2 more
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