Results 101 to 110 of about 1,363 (174)

Perturbation-iteration approach for fractional-order logistic differential equations

Nonlinear Engineering
In this article, we present an accurate semi-analytical solution for fractional-order logistic equations across a wider domain. We accomplish this by deriving successive approximate solutions using a modified perturbation iteration approach tailored for ...
Owoyemi Abiodun Ezekiel, Phang Chang, Isah Abdulnasir   +2 more
doaj   +1 more source

Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

Open Mathematics, 2016
We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions.
Aqlan Mohammed H., Alsaedi Ahmed, Ahmad Bashir, Nieto Juan J.   +3 more
doaj   +1 more source

Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions

, 2013
In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α∈(2,3] with nonlocal three-point fractional boundary conditions via Sadovskii’s fixed point theorem for condensing maps.
R. Agarwal, S. Ntouyas, B. Ahmad, M. Alhothuali   +3 more
semanticscholar   +1 more source

Some new quantum derivatives and integrals with their applications in integral error bounds

Demonstratio Mathematica
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong, Ali Muhammad Aamir, Murtaza Ghulam, Budak Hüseyin, Zhao Dafang   +4 more
doaj   +1 more source

New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions

, 2013
In this paper, we study the existence of solutions for a fractional boundary value problem involving Hadamard-type fractional differential inclusions and integral boundary conditions.
B. Ahmad, S. Ntouyas, A. Alsaedi
semanticscholar   +1 more source

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj   +1 more source

A fractional order Covid-19 epidemic model with Mittag-Leffler kernel. [PDF]

Chaos Solitons Fractals, 2021
Khan H, Ibrahim M, Abdel-Aty AH, Khashan MM, Khan FA, Khan A.   +5 more
europepmc   +1 more source

Positive solutions to a system of semipositone fractional boundary value problems

, 2014
We study the existence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with sign-changing nonlinearities, subject to integral boundary conditions.MSC:34A08, 45G15.
R. Luca, A. Tudorache
semanticscholar   +1 more source

A modified predictor–corrector scheme with graded mesh for numerical solutions of nonlinear Ψ-caputo fractional-order systems

Open Mathematics
The aim of this article is to develop a modified predictor–corrector scheme for solving the system of nonlinear Ψ\Psi -Caputo fractional differential equations with order ...
Songsanga Danuruj, Sa Ngiamsunthorn Parinya   +1 more
doaj   +1 more source

Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]

Bound Value Probl, 2023
Kebede SG, Lakoud AG.
europepmc   +1 more source