Results 31 to 40 of about 554 (129)
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
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
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
On the equivalence of three-dimensional differential systems
Open Mathematics, 2020 In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system.
Zhou Jian, Zhao Shiyin
doaj +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
Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we study the existence of periodic and non-negative periodic solutions of the nonlinear neutral differential equation ddtx(t)=−a (t) h (x (t))+ddtQ (t, x (t−τ (t)))+G (t, x(t), x (t−τ (t))).$${{\rm{d}} \over {{\rm{dt}}}}{\rm{x}}({\rm{t}}) =
Mesmouli Mouataz Billah +2 more
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
Regularity and drift by Osgood vector fields [PDF]
arXiv, 2022 We consider the problem of loss and propagation of regularity of transport equation with Osgood vector field. As an application, we obtain a quantitative stability estimate for 2D incompressible Euler equation with generalized Yudovich initial data.
arxiv
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