Results 31 to 40 of about 659 (109)

On the existence and uniqueness of solution to Volterra equation on a time scale

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
doaj   +1 more source

On the Nagumo uniqueness theorem

open access: yes, 2011
By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010), 41--44]. In this way, we
Mustafa, Octavian G., O'Regan, Donal
core   +1 more source

On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators

open access: yesAlexandria Engineering Journal, 2020
We investigate the existence of solutions for a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions.
D. Baleanu, S. Etemad, Sh. Rezapour
doaj   +1 more source

An investigation of fractional Bagley-Torvik equation

open access: yesOpen 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 Closed-Form Solution to the Arbitrary Order Cauchy Problem with Propagators [PDF]

open access: yes, 2014
The general abstract arbitrary order (N) Cauchy problem was solved in a closed form as a sum of exponential propagator functions. The infinite sparse exponential series was solved with the aid of a homogeneous differential equation. It generated a linear
Stenlund, Henrik
core  

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

open access: yesInternational 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   +4 more
wiley   +1 more source

A novel algorithm for time-fractional foam drainage equation

open access: yesAlexandria 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   +2 more
doaj   +1 more source

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

open access: yes, 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, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales

open access: yesNonautonomous 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

The Knaster-Tarski theorem versus monotone nonexpansive mappings

open access: yes, 2018
Let $X$ be a partially ordered set with the property that each family of order intervals of the form $[a,b],[a,\rightarrow )$ with the finite intersection property has a nonempty intersection.
Espínola, Rafael, Wiśnicki, Andrzej
core   +1 more source

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