Results 41 to 50 of about 35,805 (203)

Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations

Nonautonomous Dynamical Systems, 2021
In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point
Salim Abdelkrim, Benchohra Mouffak, Lazreg Jamal Eddine, Nieto Juan J., Zhou Yong   +4 more
doaj   +1 more source

An advanced meshless method for time fractional diffusion equation [PDF]

, 2011
Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are ...
Gu Y. T., Liu F., Liu G. R., Liu G. R., Liu Q. X., P. ZHUANG, Q. LIU, Y. T. GU   +7 more
core   +2 more sources

Numerical Solution of Fractional Order Fredholm Integro-differential Equations by Spectral Method with Fractional Basis Functions

Известия Иркутского государственного университета: Серия "Математика", 2023
This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to
Y. Talaei, S. Noeiaghdam, H. Hosseinzadeh   +2 more
doaj   +1 more source

On Nonlinear Implicit Neutral Generalized Hilfer Fractional Differential Equations with Terminal Conditions and Delay

Topological Algebra and its Applications, 2022
In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane, Salim Abdelkrim, Benchohra Mouffak   +2 more
doaj   +1 more source

Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions

, 2021
The current study is devoted to deriving some results about existence and stability analysis for a nonlinear problem of implicit fractional differential equations (FODEs) with impulsive and integral boundary conditions.
Arshad Ali, K. Shah, T. Abdeljawad, I. Mahariq, M. Rashdan   +4 more
semanticscholar   +1 more source

Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique

Malaysian journal of mathematical sciences, 2023
In this manuscript, we examine the existence and the stability of solutions to the boundary value problem of Riemann-Liouville fractional differential equations of variable order. The obtained new results are based on the fixed point theorem of Darbo and
Z. Bouazza, M. S. Souıd, C. H. C. Hussin, A. Mandangan, S. Sabit   +4 more
semanticscholar   +1 more source

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

Complex, 2021
In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo, Mehboob Alam, A. Zada, U. Riaz, Zhiguo Luo   +4 more
semanticscholar   +1 more source

A new mathematical formulation for a phase change problem with a memory flux [PDF]

, 2018
A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model
Bollati, Julieta, Roscani, Sabrina Dina, Tarzia, Domingo Alberto   +2 more
core   +2 more sources

A coupled system of $ p $-Laplacian implicit fractional differential equations depending on boundary conditions of integral type

AIMS Mathematics, 2023
The objective of this article is to investigate a coupled implicit Caputo fractional $ p $-Laplacian system, depending on boundary conditions of integral type, by the substitution method.
Dongming Nie, U. Riaz, Sumbel Begum, A. Zada   +3 more
semanticscholar   +1 more source

On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative

Boundary Value Problems, 2021
In this paper, we study a class of initial value problems for a nonlinear implicit fractional differential equation with nonlocal conditions involving the Atangana–Baleanu–Caputo fractional derivative.
Abeer S. Alnahdi, Mdi Begum Jeelani, Mohammed S. Abdo, Saeed M. Ali, S. Saleh   +4 more
doaj   +1 more source