Results 241 to 250 of about 39,585 (286)

Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation

, 2020
An inverse problem for determining the order of the Caputo time-fractional derivative in a subdiffusion equation with an arbitrary positive self-adjoint operator A with discrete spectrum is considered. By the Fourier method it is proved that the value of
S. Alimov, R. Ashurov
semanticscholar   +1 more source

Investigating Pancreatic Cancer Dynamics Through Fractional Modeling With Caputo Derivative

Mathematical methods in the applied sciences
This research investigates the interplay among pancreatic cancer cells (PCCs), pancreatic stellate cells (PSC), effector cells, and both tumor‐suppressing and tumor‐promoting cytokines to better understand the dynamics of pancreatic cancer.
Mihir Thakkar, Anil Chavada, Nimisha Pathak   +2 more
semanticscholar   +1 more source

Numerical solutions for the reaction–diffusion, diffusion‐wave, and Cattaneo equations using a new operational matrix for the Caputo–Fabrizio derivative

Mathematical methods in the applied sciences, 2020
In this research work, we study the model of nonlinear reaction–diffusion equation, diffusion‐wave equation, and Cattaneo equation with the help of a numerical method in which time‐fractional derivative is of Caputo–Fabrizio type (C‐F).
Sachin Kumar, J. F. G. Aguilar, Prashant Pandey   +2 more
semanticscholar   +1 more source

Black–Scholes option pricing equations described by the Caputo generalized fractional derivative

Chaos, Solitons & Fractals, 2019
Fractional Black–Scholes equation is a constructive financial equation. The model is used to determine the value of the option without a transaction cost. The analytical solutions of the fractional Black–Scholes equations have been addressed.
A. Fall, Seydou Nourou Ndiaye, N. Sene
semanticscholar   +1 more source

Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative

Mathematical methods in the applied sciences
This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays.
Chaimaa Benzarouala, C. Tunç
semanticscholar   +1 more source

Brain modelling in the framework of anisotropic hyperelasticity with time fractional damage evolution governed by the Caputo-Almeida fractional derivative.

Journal of The Mechanical Behavior of Biomedical Materials, 2019
In this paper the human brain tissue constitutive model for monotonic loading is developed. The model in this work is based on the anisotropic hyperelasticity assumption (the transversely isotropic case) together with modelling of the evolving load ...
G. Voyiadjis, W. Sumelka
semanticscholar   +1 more source

The solution of the anomalous diffusion equation by a finite element method formulation based on the Caputo derivative

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2022
R. M. Corrêa, J. Carrer, B. Solheid, J. Trevelyan   +3 more
semanticscholar   +1 more source

On solution of non-linear FDE under tempered Ψ−Caputo derivative for the first-order and three-point boundary conditions

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
In this article, the existence and uniqueness of solutions for non-linear fractional differential equation with Tempered Ψ−Caputo derivative with three-point boundary conditions were studied.
K. Bensassa, M. Benbachir, M. Samei, S. Salahshour   +3 more
semanticscholar   +1 more source

Finite‐time stability and numerical approximations of fractional neutral delay systems involving proportional Caputo derivative

Mathematical methods in the applied sciences
This paper deals with a class of fractional neutral delay systems involving proportional Caputo derivative. Maintaining the finite‐time stability of fractional‐order systems is a major challenge, as their capacity to mimic complex dynamics draws more ...
A. B. Makhlouf, A. M. Nagy
semanticscholar   +1 more source

Fractional investigation of bank data with fractal-fractional Caputo derivative

, 2020
A novel investigation for banking data through mathematical model with a novel operator known as fractal-fractional in the sense of Caputo derivative is presented.
Zhongfei Li, Zhu Liu, M. Khan
semanticscholar   +1 more source