Results 31 to 40 of about 74,438 (274)
Mathematics, 2020 We study an initial-boundary value problem for a fractional wave equation of time distributed-order with a nonlinear source term. The coefficients of the second order differential operator are dependent on the spatial and time variables.
Karel Van Bockstal
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Analysis of a Hidden-Memory Variably Distributed-Order Time-Fractional Diffusion Equation
Fractal and Fractional, 2022 We analyze the well-posedness and regularity of a variably distributed-order time-fractional diffusion equation (tFDE) with a hidden-memory fractional derivative, which provide a competitive means to describe the anomalously diffusive transport of ...
Jinhong Jia
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Mathematics, 2020 Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Ravi Agarwal +3 more
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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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Fractal and Fractional, 2023 Based on the infinite state representation, any linear or nonlinear fractional order differential system can be modelized by a finite-dimension set of integer order differential equations.
Jean-Claude Trigeassou, Nezha Maamri
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Error Estimates for Approximations of Distributed Order Time Fractional Diffusion with Nonsmooth Data [PDF]
, 2015 In this work, we consider the numerical solution of an initial boundary value problem for the distributed order time fractional diffusion equation. The model arises in the mathematical modeling of ultra-slow diffusion processes observed in some physical ...
Jin, Bangti +3 more
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Fractional diffusion equation with the distributed order Caputo derivative
, 2017 We consider fractional diffusion equation with the distributed order Caputo derivative. We prove existence of a weak and regular solution for general uniformly elliptic operator under the assumption that the weight function is only integrable.
Kubica, Adam, Ryszewska, Katarzyna
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Heliyon, 2023 This study investigates a fractional-order time derivative model of non-Newtonian magnetic blood flow in the presence of thermal radiation and body acceleration through an inclined artery.
Dzuliana Fatin Jamil +5 more
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Journal of Applied Analysis & Computation, 2023 Summary: In this article, the orthonormal Bernoulli polynomials (OBPs) and their properties are applied for concluding a general technique for forming a new operational matrix of the distributed-order (DO) fractional derivative. Then, we apply tau approach and obtained operational matrix to solve some DO time-fractional partial differential equations ...
Pourbabaee, M., Saadatmandi, A.
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Complexity, 2017 This paper investigates the existence and globally asymptotic stability of equilibrium solution for Riemann-Liouville fractional-order hybrid BAM neural networks with distributed delays and impulses.
Hai Zhang +3 more
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