Results 61 to 70 of about 1,586 (136)
Advances in Nonlinear Analysis, 2015 In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space
Moroccan Journal of Pure and Applied Analysis, 2020 Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
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A Preconditioned Fast Finite Volume Method for Distributed-Order Diffusion Equation and Applications
East Asian Journal on Applied Mathematics, 2019 A Crank-Nicolson finite volume scheme for the modeling of the Riesz space distributed-order diffusion equation is proposed. The corresponding linear system has a symmetric positive definite Toeplitz matrix.
Hongfei Fu
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An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative [PDF]
, 2010 Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville
Kilbas, Anatoly, Repin, Oleg
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Three nontrivial solutions for nonlinear fractional Laplacian equations
Advances in Nonlinear Analysis, 2018 We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze +1 more
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Journal of Computational Mathematics, 2019 In this paper, a linear implicit L1-Legendre Galerkin Chebyshev collocation method for the generalized timeand space-fractional Burgers equation is developed.
Y. Ma
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Fractional Calculus of Variations for Double Integrals [PDF]
, 2011 We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is ...
Odzijewicz, Tatiana +1 more
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Solvability and microlocal analysis of the fractional Eringen wave equation
, 2017 We discuss unique existence and microlocal regularity properties of Sobolev space solutions to the fractional Eringen wave equation, initially given in the form of a system of equations in which the classical non-local Eringen constitutive equation is ...
Hörmann, Günther +2 more
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FDM for fractional parabolic equations with the Neumann condition
, 2013 In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented.
A. Ashyralyev, Zafer Cakir
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Journal of Applied Mathematics and Computational Mechanics, 2019 In the present paper, the Generalized Differential Transform Method (GDTM) is used for obtaining the approximate analytic solutions of a free vibration linear differential equation of a single-degree-of-freedom (SDOF) system with fractional derivative ...
D. Das
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