Results 31 to 40 of about 258 (102)

Well posedness for evolution inclusions

International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 537-544, 1994., 1994
We prove the existence of a continuous selection of the multivalued map φ → Φ(φ) which is the set of all mild solutions of the evolution inclusion Here F is a multivalued map, Lipschitzian with respect to x, and A is the infinitesimal generator of a C0‐semigroup.
K. Balachandran, A. Anguraj
wiley   +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

Coupled system of a fractional order differential equations with weighted initial conditions

Open Mathematics, 2019
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A., Abd El-Salam Sheren A.   +1 more
doaj   +1 more source

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

Alexandria 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

A coupled system of fractional differential equations with nonlocal integral boundary conditions

, 2012
In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order.
S. Ntouyas, M. Obaid
semanticscholar   +1 more source

Theory and applications of first-order systems of Stieltjes differential equations

Advances in Nonlinear Analysis, 2017
We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
doaj   +1 more source

Exploring Stochastic Fractional Delay Integrodifferential System

Asia Pacific Journal of Mathematics
. This study examines the system of stochastic fractional delay integrodifferential equations with Gaussian noise. We employ the Picard-Lindelof successive approximation scheme for existence and uniqueness.
M. L. Maheswari, Karthik Muthusamy
semanticscholar   +1 more source

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

Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces

Advances in Differential Equations, 2013
In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces.
C. Ravichandran, D. Baleanu
semanticscholar   +1 more source

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