Results 31 to 40 of about 232 (127)
Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]
, 2010 Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Nikolova, Yanka, Boyadjiev, Lyubomir
core
Advances in Nonlinear Analysis, 2023 In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents the first systematic analysis of critical exponents for both third and fourth‐order fractional Moore–Gibson–Thompson (MGT) equations with combined spatiotemporal fractional derivatives and structural damping. We establish sharp nonexistence results for global solutions via an adapted test function method, deriving explicit critical ...
Ahlem Merah +7 more
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Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian
Advanced Nonlinear StudiesIn the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua +4 more
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Ground states for fractional Schrödinger equations involving a critical nonlinearity
Advances in Nonlinear Analysis, 2016 This paper is aimed to study ground states for a class of fractional Schrödinger equations involving the critical exponents:
Zhang Xia, Zhang Binlin, Xiang Mingqi
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, an enhanced semianalytical framework is developed for solving nonlinear fractional differential equations involving the Caputo–Fabrizio fractional operator. The proposed Caputo–Fabrizio q‐Kushare homotopy analysis transform method (CFq‐KHATM) combines the Caputo–Fabrizio derivative, Kushare transform, and q‐homotopy analysis within a ...
Aslı Alkan, Halil Anaç, Smritijit Sen
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Advanced Nonlinear StudiesIn this article, we focus on studying space-time fractional parabolic equations with the nonlocal Bellman operator and the Marchaud fractional derivative. To address the difficulty caused by the space-time non-locality of operator ∂tα−Fs ${\partial }_{t}^
Liu Mengru, Zhang Lihong, Wang Guotao
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Fractional Hardy-Sobolev equations with nonhomogeneous terms
Advances in Nonlinear Analysis, 2021 This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study employs the conformable fractional q‐Shehu homotopy analysis transform approach to investigate the nonlinear conformable time‐fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution.
Aslı Alkan +4 more
wiley +1 more source
Advances in Nonlinear AnalysisIn this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
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