Results 31 to 40 of about 800 (123)
On the structure of ionizing shock waves in magnetofluiddynamics
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 395-415, 2002., 2002 Ionizing shock waves in magnetofluiddynamics occur when the coefficient of electrical conductivity is very small ahead of the shock and very large behind it. For planner motion of plasma, the structure of such shock waves are stated in terms of a system of four‐dimensional equations.
A. Aghajani, M. Hesaaraki
wiley +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. +1 more
doaj +1 more source
On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]
, 2019 In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P. +2 more
core +4 more sources
Variational iteration method for fractional calculus - a universal approach by Laplace transform
, 2013 A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically
Guo-cheng Wu, D. Baleanu
semanticscholar +1 more source
Existence results and continuity dependence of solutions for fractional equations
, 2020 Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space Cξ , using an ...
J. V. C. Sousa
semanticscholar +1 more source
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +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
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
, 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
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