Results 11 to 20 of about 82,702 (262)
Mathematics, 2022 Linear equations in Banach spaces with a distributed fractional derivative given by the Stieltjes integral and with a closed operator A in the right-hand side are considered. Unlike the previously studied classes of equations with distributed derivatives,
Sergey M. Sitnik +3 more
doaj +1 more source
Fractional diffusion equation with distributed-order Caputo derivative [PDF]
Journal of Integral Equations and Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kubica, Adam, Ryszewska, Katarzyna
openaire +2 more sources
Fractional diffusion equation with distributed-order material derivative. Stochastic foundations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2017 In this paper we present stochastic foundations of fractional dynamics driven by fractional material derivative of distributed order-type. Before stating our main result we present the stochastic scenario which underlies the dynamics given by fractional material derivative.
Magdziarz, M., Teuerle, M.
openaire +3 more sources
Recovery of a distributed order fractional derivative in an unknown medium
Communications in Mathematical Sciences, 2023 In this work, we study an inverse problem of recovering information about the weight in distributed-order time-fractional diffusion from the observation at one single point on the domain boundary. In the absence of an explicit knowledge of the medium, we prove that the one-point observation can uniquely determine the support bound of the weight.
Jin, B, Kian, Y
openaire +3 more sources
Alexandria Engineering Journal, 2023 In this paper, the distributed-order time fractional diffusion equation is introduced and studied. The Caputo fractional derivative is utilized to define this distributed-order fractional derivative.
M.H. Heydari, M. Hosseininia, D. Baleanu
doaj +1 more source
A novel numerical approach for distributed order time fractional COVID-19 virus model [PDF]
Journal of Applied Research on Industrial Engineering, 2022 In this paper, we proposed a numerical approach to solve a distributed order time fractional COVID 19 virus model. The fractional derivatives are shown in the Caputo-Prabhakar contains generalized Mittag-Leffler Kernel.
Mohsen Khasteh +2 more
doaj +1 more source
Distributed order reaction-diffusion systems associated with Caputo derivatives [PDF]
Journal of Mathematical Physics, 2014 This paper deals with the investigation of the solution of an unified fractional reaction-diffusion equation of distributed order associated with the Caputo derivatives as the time-derivative and Riesz-Feller fractional derivative as the space-derivative.
Saxena, R. K. +2 more
openaire +2 more sources
Fractal and Fractional, 2022 In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function. We prove necessary optimality conditions for the Herglotz fractional variational problem with and without time delay, with higher-order derivatives, and with several independent variables.
Fátima Cruz +2 more
openaire +3 more sources
Fractal and Fractional, 2023 A comb structure consists of a one-dimensional backbone with lateral branches. These structures have widespread application in medicine and biology. Such a structure promotes an anomalous diffusion process along the backbone (x-direction), along with ...
Lin Liu +7 more
doaj +1 more source
Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives [PDF]
Abstract and Applied Analysis, 2020 In this article, we survey the Lyapunov direct method for distributed-order nonlinear time-varying systems with the Prabhakar fractional derivatives. We provide various ways to determine the stability or asymptotic stability for these types of fractional differential systems.
MohammadHossein Derakhshan +1 more
openaire +2 more sources