Results 51 to 60 of about 659 (109)

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

On solvability of an indefinite Riccati equation [PDF]

, 2013
This note concerns a class of matrix Riccati equations associated with stochastic linear-quadratic optimal control problems with indefinite state and control weighting costs. A novel sufficient condition of solvability of such equations is derived, based
Du, Kai
core  

Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order

Open Mathematics, 2015
Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number ...
Goufo Emile Franc Doungmo, Mugisha Stella   +1 more
doaj   +1 more source

Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions.
Ahmad Bashir, Ntouyas Sotiris K.
doaj   +1 more source

Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]

Bound Value Probl, 2023
Li C.
europepmc   +1 more source

Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

Moroccan Journal of Pure and Applied Analysis, 2018
The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj   +1 more source

Existence of solutions for nonlinear problems involving mixed fractional derivatives with p(x)-Laplacian operator

Demonstratio Mathematica
In this article, a functional boundary value problem involving mixed fractional derivatives with p(x)p\left(x)-Laplacian operator is investigated. Based on the fixed point theorems and Mawhin’s coincidence theory’s extension theory, some existence ...
Sun Bingzhi
doaj   +1 more source

Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions

Advanced Nonlinear Studies, 2018
In this paper, we establish existence and multiplicity results for systems of first-order differential equations. To this end, we introduce the method of solution-regions.
Frigon Marlène
doaj   +1 more source

Qualitative analysis of dynamic equations on time scales

, 2018
In this article, we establish the Picard-Lindelof theorem and approximating results for dynamic equations on time scale. We present a simple proof for the existence and uniqueness of the solution.
Abbas, Syed
core   +1 more source

On the nonlinear Hadamard-type integro-differential equation. [PDF]

Fixed Point Theory Algorithm Sci Eng, 2021
Li C.
europepmc   +1 more source