Results 291 to 300 of about 8,614,781 (356)
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, 2021
This paper deals with the existence and uniqueness results for the solution of a Neutral fractional integro-differential problem with nonlocal conditions.
A. Naimi, Tellab Brahim, Khaled Zennir
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This paper deals with the existence and uniqueness results for the solution of a Neutral fractional integro-differential problem with nonlocal conditions.
A. Naimi, Tellab Brahim, Khaled Zennir
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Fractional Calculus and Applied Analysis, 2020
In this article, we are concerned with the existence of mild solutions as well as approximate controllability for a class of fractional evolution equations with nonlocal conditions in Banach spaces.
Pengyu Chen, Xuping Zhang, Yongxiang Li
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In this article, we are concerned with the existence of mild solutions as well as approximate controllability for a class of fractional evolution equations with nonlocal conditions in Banach spaces.
Pengyu Chen, Xuping Zhang, Yongxiang Li
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Existence of solutions for some functional integrodifferential equations with nonlocal conditions
Mathematical methods in the applied sciences, 2020In this paper, we discuss the existence of mild solution of functional integrodifferential equation with nonlocal conditions. To establish this results by using the resolvent operator theory and Sadovskii‐Krasnosel'skii type of fixed point theorem and to
K. Munusamy +3 more
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Numerical Methods for Partial Differential Equations, 2020
This article will give the residual power series method (RPSM) for solving pseudo hyperbolic partial differential equations with nonlocal conditions, RPSM is essentially based on general formula of Taylor series with residual error function.
Mahmut Modanlı +2 more
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This article will give the residual power series method (RPSM) for solving pseudo hyperbolic partial differential equations with nonlocal conditions, RPSM is essentially based on general formula of Taylor series with residual error function.
Mahmut Modanlı +2 more
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A class of stochastic nonlocal evolution equations with nonlocal initial conditions
Analysis and Applications, 2023In this paper, we consider the existence and uniqueness of mild solutions for stochastic nonlocal evolution equations with Lévy diffusion operator and nonlocal initial conditions. Based on the continuity of the Lévy semigroup and the technique of the measure of noncompactness, we establish the local existence of mild solutions in [Formula: see text ...
Yarong Liu +2 more
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Stabilization of nonlocal solitons by boundary conditions
Optics Letters, 2014We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Jing, Wang, Yiheng, Li, Qi, Guo, Wei, Hu
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Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions
Numerical Methods for Partial Differential Equations, 2020In this study, the parabolic partial differential equations with nonlocal conditions are solved. To this end, we use the reproducing kernel method (RKM) that is obtained from the combining fundamental concepts of the Galerkin method, and the complete ...
T. Allahviranloo, H. Sahihi
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Fractional Calculus and Applied Analysis, 2019
In this paper, we consider the existence of mild solutions and approximate controllability for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2.
Linxin Shu, X. Shu, J. Mao
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In this paper, we consider the existence of mild solutions and approximate controllability for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2.
Linxin Shu, X. Shu, J. Mao
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A nonlocal problem with integral conditions
Mathematical Notes, 1996For the equation \(u_{xy} +A(x,y)u_x +B(x,y)u_y +C(x,y)u =f(x,y)\) in the domain \(D=\{(x,y ...
Golubeva, N. D., Pul'kina, L. S.
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Mild solutions of evolution quantum stochastic differential equations with nonlocal conditions
Mathematical methods in the applied sciences, 2020We study existence of a unique mild solution of evolution quantum stochastic differential equations with nonlocal conditions under the strong topology. Using the method of successive approximations, we do not need to transform the nonlocal problem to a ...
S. Bishop, G. A. Okeke, K. Eke
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