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On General Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions

Differential Equations and Dynamical Systems, 2016
In this paper, the authors investigate the existence of solutions for the following nonlocal integral boundary value problem of Caputo type fractional differential inclusions: \[ \begin{cases} ^{c}D_{t_0}^{r}x(t)\in F(t,x(t),\quad t\in J=[t_0,T],\quad n ...
Ahmad, Bashir   +2 more
openaire   +1 more source

On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions

Bulletin of the Malaysian Mathematical Sciences Society, 2016
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Ahmad, Bashir   +3 more
openaire   +2 more sources

Solvability of a Coupled System of Fractional Differential Equations with Nonlocal and Integral Boundary Conditions

Fundamenta Informaticae, 2017
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative ...
Bashir Ahmad 0003   +3 more
openaire   +1 more source

Boundary value problems with bounded $\varphi$-Laplacian and nonlocal conditions of integral type

Czechoslovak Mathematical Journal, 2023
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Bugajewska, Daria, Mawhin, Jean
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Coupled Fractional-Order Systems with Nonlocal Coupled Integral and Discrete Boundary Conditions

Bulletin of the Malaysian Mathematical Sciences Society, 2017
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Alsaedi, Ahmed   +3 more
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Integrating the Maxwell equations, generalized functions, and nonlocal boundary conditions

Journal of the Optical Society of America A, 1993
The equivalence of the combined interior and exterior scattering problems with the Maxwell equations and boundary equations has been demonstrated [ J. Opt. Soc. Am. B68, 602– 610 ( 1978)]. The expressions for the fields inside and outside the medium were coupled through certain nonlocal boundary conditions that were shown to be generalizations of the ...
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On higher-order nonlinear boundary value problems with nonlocal multipoint integral boundary conditions

Lithuanian Mathematical Journal, 2016
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Ahmad, Bashir   +2 more
openaire   +1 more source

Solvability of a boundary value problem for a pseudoparabolic equation with nonlocal integral conditions

Differential Equations, 2015
By using the method of continuation with respect to a parameter and a priori estimates, we prove the unique regular solvability of a boundary value problem with nonlocal integral boundary conditions for a one-dimensional pseudoparabolic equation.
exaly   +2 more sources

Novel efficient collocation method for Sturm–Liouville problems with nonlocal integral boundary conditions

SeMA Journal, 2020
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El-Gamel, Mohamed, El-Hady, Mahmoud Abd
openaire   +1 more source

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