Results 11 to 20 of about 443 (224)

A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

Advances in Difference Equations, 2018
In this paper, we investigate a fully implicit finite difference scheme for solving the time fractional advection–diffusion equation. The time fractional derivative is estimated using Caputo’s formulation, and the spatial derivatives are discretized ...
Syed Tauseef Mohyud-Din, Tayyaba Akram, Muhammad Abbas, Ahmad Izani Ismail, Norhashidah H. M. Ali   +4 more
doaj   +2 more sources

Existence and Uniqueness Result for Fuzzy Fractional Order Goursat Partial Differential Equations

Fractal and Fractional
In this manuscript, we discuss fractional fuzzy Goursat problems with Caputo’s gH-differentiability. The second-order mixed derivative term in Goursat problems and two types of Caputo’s gH-differentiability pose challenges to dealing with Goursat ...
Muhammad Sarwar, Noor Jamal, Kamaleldin Abodayeh, Chanon Promsakon, Thanin Sitthiwirattham   +4 more
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The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method

Advances in Mathematical Physics, 2020
In this paper, radial basis functions (RBFs) method was used to solve a fractional Black-Scholes-Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process.
Naravadee Nualsaard, Anirut Luadsong, Nitima Aschariyaphotha   +2 more
doaj   +2 more sources

Quarter-Sweep Preconditioned Relaxation Method, Algorithm and Efficiency Analysis for Fractional Mathematical Equation [PDF]

Fractal and Fractional, 2021
Research into the recent developments for solving fractional mathematical equations requires accurate and efficient numerical methods. Although many numerical methods based on Caputo’s fractional derivative have been proposed to solve fractional ...
Andang Sunarto, Praveen Agarwal, Jumat Sulaiman, Jackel Vui Lung Chew, Shaher Momani   +4 more
doaj   +2 more sources

New Series Solution of the Caputo Fractional Ambartsumian Delay Differential Equationation by Mittag-Leffler Functions

Mathematics, 2021
The fractional generalization of the Ambartsumian delay equation with Caputo’s fractional derivative is considered. The Ambartsumian delay equation is very difficult to be solved neither in the case of ordinary derivatives nor in the case of fractional ...
Weam Alharbi, Snezhana Hristova
doaj   +2 more sources

A Fractional Complex Permittivity Model of Media with Dielectric Relaxation

Fractal and Fractional, 2017
In this work, we propose a fractional complex permittivity model of dielectric media with memory. Debye’s generalized equation, expressed in terms of the phenomenological coefficients, is replaced with the corresponding differential equation by applying ...
Armando Ciancio, Bruno Felice Filippo Flora   +1 more
doaj   +2 more sources

A new error estimate of a finite difference scheme for a fractional transport-advection equation with zero order term

Alexandria Engineering Journal
In this work, we propose a finite difference scheme for Caputo’s fractional derivative transport equation in time and space, with a zero-order term. A new error estimation of the approximate solution has been demonstrated. By introducing an approximation
Allaoua Mehri, Hakima Bouhadjera, Mohammed S. Abdo, Najla Alghamdi, Sahar Ahmed Idris   +4 more
doaj   +2 more sources

Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay [PDF]

Journal of Applied Mathematics, 2013
This paper is concerned with the reachability and controllability of fractional singular dynamical systems with control delay. The factors of such systems including the Caputo’s fractional derivative, control delay, and singular coefficient matrix are ...
Hai Zhang, Jinde Cao, Wei Jiang
doaj   +2 more sources

An Operational Matrix Technique Based on Chebyshev Polynomials for Solving Mixed Volterra-Fredholm Delay Integro-Differential Equations of Variable-Order

Journal of Function Spaces, 2022
In this work, an algorithm for finding numerical solutions of linear fractional delay-integro-differential equations (LFDIDEs) of variable-order (VO) is introduced.
Kamal R. Raslan, Khalid K. Ali, Emad M. H. Mohamed, Jihad A. Younis, Mohamed A. Abd El salam   +4 more
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On Fractional SIRC Model with Salmonella Bacterial Infection

Abstract and Applied Analysis, 2014
We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions.
Fathalla A. Rihan, Dumitru Baleanu, S. Lakshmanan, R. Rakkiyappan   +3 more
doaj   +2 more sources