Results 141 to 150 of about 35,805 (203)

Dynamics of the time-fractional reaction-diffusion coupled equations in biological and chemical processes. [PDF]

Sci Rep
Ghafoor A, Fiaz M, Hussain M, Ullah A, Ismail EAA, Awwad FA.   +5 more
europepmc   +1 more source

Mild and classical solutions to fractional Cauchy problem on time scales. [PDF]

Heliyon
Al-Omari A, Al-Saadi H.
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Implicit fractional differential equations: Existence of a solution revisited

Mathematical Methods in the Applied Sciences, 2023
This paper focuses on revisiting and improving the results regarding the existence of a solution to the implicit fractional differential equations (FDEs) given in the following form: for all with the initial condition , where is the Caputo fractional derivative (CFD).
Canan Çelik, Faruk Develi
openaire   +3 more sources

Theory of Nonlinear Implicit Fractional Differential Equations

Differential Equations and Dynamical Systems, 2016
In this paper, the authors study existence, interval of existence, uniqueness and continuous dependence of solutions on initial conditions of the implicit fractional differential equation of the form \[^cD^{\alpha}x(t)= f(t,x(t),^cD^{\alpha}x(t)),\ \ \ x(0) = x_0 \in \mathbb{R}, t \in [0, T], \] where \(^cD^{\alpha} \ (0
Kucche, Kishor D., Nieto, Juan J., Venktesh, Venktesh   +2 more
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Implicit Caputo-Fabrizio fractional differential equations with delay

Studia Universitatis Babes-Bolyai Matematica, 2023
"This article deals with some existence and uniqueness results for several classes of implicit fractional differential equations with delay. Our results are based on some fixed-point theorems. To illustrate our results, we present some examples in the last section. Keywords: Caputo-Fabrizio fractional order derivative, implicit, delay, fixed point."
Salim Krim, Said Abbas, Mouffak Benchohra, Juan J. Nieto   +3 more
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Caputo-Hadamard implicit fractional differential equations with delay

São Paulo Journal of Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Krim, Saïd Abbas, Mouffak Benchohra   +2 more
semanticscholar   +4 more sources

Analyze implicit fractional differential equations using the AB-Caputo fractional derivative

International Journal of Modeling, Simulation, and Scientific Computing
In this study, we explore the solutions of fractional differential equations (FDEs) involving the Atangana–Baleanu–Caputo derivative, subject to both integral and impulsive implicit boundary conditions. To establish the existence and uniqueness of solutions, we utilize the Banach Contraction Mapping Principle and Krasnoselskiis fixed point theorem ...
Abdulrahman A. Sharif, Maha M. Hamood, Kirtiwant P. Ghadle   +2 more
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On Caputo tempered implicit fractional differential equations in b-metric spaces

Analysis, 2023
This paper deals with the existence and uniqueness results for a class of problems for nonlinear Caputo tempered implicit fractional differential equations in b-metric spaces with initial and nonlocal conditions.
A. Salim, S. Krim, J. Lazreg, M. Benchohra   +3 more
semanticscholar   +1 more source