Results 71 to 80 of about 35,805 (203)

On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions

Demonstratio Mathematica
This study investigates the existence of solutions for implicit fractional differential equations with fractional-order integral boundary conditions. We create the required conditions to ensure unique solution and Ulam-Hyers-Rassias stability.
El-Sayed Ahmed Mohamad, Al-Issa Shorouk Mahmoud, El Miari Maysaa Mohamad   +2 more
doaj   +1 more source

Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution

Fractal and Fractional, 2023
This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
doaj   +1 more source

On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations

, 2017
Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms.
Kuhnert, Joerg, Suchde, Pratik, Tiwari, Sudarshan   +2 more
core   +1 more source

The Ulam Stability of High-Order Variable-Order φ-Hilfer Fractional Implicit Integro-Differential Equations

Fractal and Fractional
This study investigates the initial value problem of high-order variable-order φ-Hilfer fractional implicit integro-differential equations. Due to the lack of the semigroup property in variable-order fractional integrals, solving these equations presents
Peiguang Wang, Bing Han, Junyan Bao
doaj   +1 more source

L1-Solutions of Boundary Value Problems for Implicit Fractional Order Differential Equations [PDF]

Surveys in Mathematics and its Applications, 2015
The aim of this paper is to present new results on the existence of solutions for a class of boundary value problem for fractional order implicit differential equations involving the Caputo fractional derivative. Our results are based on Schauder's fixed
Mouffak Benchohra, Mohammed Said Souid
doaj  

Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative

Boundary Value Problems, 2020
Results reported in this paper study the existence and stability of a class of implicit generalized proportional fractional integro-differential Langevin equations with nonlocal fractional integral conditions.
Bounmy Khaminsou, Chatthai Thaiprayoon, Jehad Alzabut, Weerawat Sudsutad   +3 more
doaj   +1 more source

Implicit-explicit time integration of nonlinear fractional differential equations

Applied Numerical Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Yongtao, Suzuki, Jorge L., Zhang, Chengjian, Zayernouri, Mohsen   +3 more
openaire   +2 more sources

Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient [PDF]

, 2015
In this work we perform a comparison of two different numerical schemes for the solution of the time-fractional diffusion equation with variable diffusion coefficient and a nonlinear source term.
Ferrás, Luís Jorge Lima, Morgado, M.L., Rebelo, M.   +2 more
core  

Comments on the paper "A. Zada, B. Dayyan, Stability analysis for a class of implicit fractional differential equations with instantaneous impulses and Riemann--Liouville boundary conditions, Ann. Univ. Craiova, Math. Comput. Sci. Ser., (2020), 88-110"

Annals of the University of Craiova. Mathematics and computer science series, 2021
"Caputo fractional differential equations with impulses are a very useful apparatus for adequate modeling of the dynamics of many rea world problems. It requires developments of good and consistent theoretical proofs and the results for various problems.
S. Hristova, A. Zada
semanticscholar   +1 more source

Finite Difference Method for Solving Fractional Hyperbolic Partial Differential Equations

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
    In this paper, the finite difference method is used to solve fractional hyperbolic partial differential equations, by modifying the associated explicit and implicit difference methods used to solve fractional  partial differential equation.
G. J. Mohammed
doaj