Results 1 to 10 of about 338,032 (215)

Solvability of Some Fractional Boundary Value Problems with a Convection Term

Discrete Dynamics in Nature and Society, 2019
This paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. By the use of some fixed-point theorems and the properties of Green function, the existence results of at least one or triple ...
Yongfang Wei, Zhanbing Bai
doaj   +2 more sources

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
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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
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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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Applications of the Neutrosophic Poisson Distribution for Bi-Univalent Functions Involving the Modified Caputo’s Derivative Operator

Fractal and Fractional, 2022
This paper establishes the upper bounds for the second and third coefficients of holomorphic and bi-univalent functions in a family which involves Bazilevic functions and μ-pseudo-starlike functions under a new operator, joining the neutrosophic Poisson ...
S. Santhiya, K. Thilagavathi
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Positive solutions of two-point boundary value problems of nonlinear fractional differential equation at resonance

Electronic Journal of Qualitative Theory of Differential Equations, 2011
This paper is concerned with a kind of nonlinear fractional differential boundary value problem at resonance with Caputo's fractional derivative. Our main approach is the recent Leggett-Williams norm-type theorem for coincidences due to O'Regan and Zima.
Aijun Yang, Helin Wang
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Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay

Abstract and Applied Analysis, 2010
Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and ...
S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi, T. Abdeljawad (Maraaba)   +4 more
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NTIM solution of the fractional order parabolic partial differential equations

Open Physics, 2022
In this article, natural transform iterative method has been used to find the approximate solution of fractional order parabolic partial differential equations of multi-dimensions together with initial and boundary conditions.
Ali Nasir, Nawaz Rashid, Saeed Anwar, Gul Taza, Bonyah Ebenezer   +4 more
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Quarter-Sweep Preconditioned Relaxation Method, Algorithm and Efficiency Analysis for Fractional Mathematical Equation

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
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Spatial Fractional Darcy’s Law on the Diffusion Equation with a Fractional Time Derivative in Single-Porosity Naturally Fractured Reservoirs

Energies, 2022
Due to the complexity imposed by all the attributes of the fracture network of many naturally fractured reservoirs, it has been observed that fluid flow does not necessarily represent a normal diffusion, i.e., Darcy’s law.
Fernando Alcántara-López, Carlos Fuentes, Rodolfo G. Camacho-Velázquez, Fernando Brambila-Paz, Carlos Chávez   +4 more
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