Results 41 to 50 of about 258 (102)

Nonlocal boundary value problems for (p, q)-difference equations

, 2018
In this paper we study existence and uniqueness of solutions for a boundary value problem for (p,q) -difference equations with nonlocal integral boundary conditions, by using classical fixed point theorems. Examples illustrating the main results are also
Nattapong Kamsrisuk, C. Promsakon, S. Ntouyas, J. Tariboon   +3 more
semanticscholar   +1 more source

Development of Aβ and anti-Aβ dynamics models for Alzheimer’s disease

Computational and Mathematical Biophysics
Alzheimer’s disease is one of the most prevalent types of dementia worldwide. It is caused by the accumulation of amyloid-beta (Aβ) plaques in the brain, disrupting communication pathways and memory.
Cindyawati Cindyawati, Ahmad Faozan, Hardhienata Hendradi, Kartono Agus   +3 more
doaj   +1 more source

A novel algorithm for time-fractional foam drainage equation

Alexandria Engineering Journal, 2020
In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear ...
Qasem M. Al-Mdallal, Haruon Yusuf, Alaa Ali   +2 more
doaj   +1 more source

Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line

Advances in Differential Equations, 2013
In this article, we study a boundary value problem of a coupled system of nonlinear Riemann-Liouville type fractional differential equations with fractional boundary conditions on the half-line.
Yuji Liu, B. Ahmad, R. Agarwal
semanticscholar   +1 more source

Existence, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales

Nonautonomous Dynamical Systems, 2019
The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

Picard iterative processes for initial value problems of singular fractional differential equations

, 2014
In this paper, the initial value problems of singular fractional differential equations are discussed. New criteria on the existence and uniqueness of solutions are obtained.
Xiaohui Yang, Yuji Liu
semanticscholar   +1 more source

Generalized (ψ,φ)-contraction to investigate Volterra integral inclusions and fractal fractional PDEs in super-metric space with numerical experiments

Nonlinear Engineering
This article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam, Sarwar Muhammad, Hleili Manel, Samei Mohammad Esmael, Abdeljawad Thabet   +4 more
doaj   +1 more source

An investigation of fractional Bagley-Torvik equation

Open Mathematics, 2019
In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
doaj   +1 more source

On second-order linear Stieltjes differential equations with non-constant coefficients

Open Mathematics
In this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J., Albés Ignacio Marquéz, Tojo Fernández   +2 more
doaj   +1 more source

SOLVING FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS TRANSFORM METHOD

, 2016
In this paper, we introduce an analytical method, which so called the homotopy analysis transform method (HATM) which is a combination of HAM and Laplace decomposition method (LDM).
M. Mohamed, M. R. Alharthi, R. A. Alotabi   +2 more
semanticscholar   +1 more source