Results 51 to 60 of about 800 (123)

Some new versions of fractional boundary value problems with slit-strips conditions

, 2014
We discuss the existence and uniqueness of solutions for a fractional differential equation of order q∈(n−1,n] with slit-strips type boundary conditions.
B. Ahmad, R. Agarwal
semanticscholar   +1 more source

A general Lipschitz uniqueness criterion for scalar ordinary differential equations [PDF]

, 2014
The classical Lipschitz-type criteria guarantee unique solvability of the scalar initial value problem $\dot x=f(t,x)$, $x(t_0)=x_0,$ by putting restrictions on $|f(t,x)-f(t,y)|$ in dependence of $|x-y|$. Geometrically it means that the field differences
Diblik, Josef, Nowak, Christine, Siegmund, Stefan   +2 more
core   +2 more sources

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

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

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

The Redner - Ben-Avraham - Kahng cluster system [PDF]

, 2012
We consider a coagulation model first introduced by Redner, Ben-Avraham and Krapivsky in [Redner, Ben-Avraham, Kahng: Kinetics of 'cluster eating', J. Phys. A: Math.
da Costa, F. P, Pinto, J. T., Sasportes, R.   +2 more
core   +3 more sources

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

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

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

Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions [PDF]

, 2014
The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclic monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n is ...
Farkhi, Elza
core