Results 11 to 20 of about 232 (127)
Darboux problem for fractional partial hyperbolic differential inclusions on unbounded domains with delay [PDF]
, 2022 In this paper we investigate the existence of solutions of initial value problems (IVP for short), for partial hyperbolic functional and neutral differential inclusions of fractional order involving Caputo fractional derivative with finite delay by using
HELAL, Mohamed
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A class of diffusion problem of Kirchhoff type with viscoelastic term involving the fractional Laplacian [PDF]
, 2020 This work is concerned with a class of diffusion problem of Kirchhoff type with viscoelastic term and nonlinear interior source in the setting of the fractional Laplacian.
LAPA, Eugenio Cabanillas +3 more
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Nonautonomous fractional Hamiltonian system with critical exponential growth [PDF]
, 2019 International audienceIn this paper, we study the following nonlocal nonautonomous Hamiltonian system on whole R (−∆) 1 2 u + u = Q(x)g(v) in R, (−∆) 1 2 v + v = P (x)f (u) in R, where (−∆) 1 2 is the square root Laplacian operator.
Marcos, João +2 more
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, 2021 For this work, a novel numerical approach is proposed to obtain solution for the class of coupled time-fractional Boussinesq–Burger equations which is a nonlinear system.
Shifaa Bani-Issa, Mahmoud S Alrawashdeh
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Open Mathematics, 2023 Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang +3 more
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A posteriori error estimates based on superconvergence of FEM for fractional evolution equations
Open Mathematics, 2021 In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
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Existence of Ground States of Fractional Schrödinger Equations
Advanced Nonlinear Studies, 2021 We consider ground states of the nonlinear fractional Schrödinger equation with ...
Ma Li, Li Zhenxiong
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A Compact Alternating Direction Implicit Scheme for Two-Dimensional Fractional Oldroyd-B Fluids [PDF]
, 2015 The two-dimensional Rayleigh-Stokes problem for a generalized Oldroyd-B fluid is considered in the present work. The fractional time derivatives are discretized using L1 and L2 approximations.
Bazhlekova, Emilia +3 more
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Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities
Advances in Nonlinear Analysis, 2022 In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
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Advances in Nonlinear Analysis, 2022 Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied.
Fritz Marvin +2 more
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