Results 51 to 60 of about 825 (124)

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

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

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

Theory of fractional hybrid differential equations with linear perturbations of second type

, 2013
In this paper, we develop the theory of fractional hybrid differential equations with linear perturbations of second type involving Riemann-Liouville differential operators of order ...
Hongling Lu, Shurong Sun, Dianwu Yang, Houshan Teng   +3 more
semanticscholar   +1 more source

On the solvability of the modified Cauchy problem for linear systems of impulsive differential equations with singularities

, 2020
The modified Cauchy problem is considered for systems of linear impulsive differential equations with singularities. The singularity is considered in the sense that the matrix-and vector-functions corresponding to the impulsive system are generally not ...
M. Ashordia, Nato Kharshiladze
semanticscholar   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +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

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  

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

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