Results 61 to 70 of about 825 (124)

Picard iterative processes for initial value problems of singular fractional differential equations

, 2014
In this paper, the initial value problems of singular fractional differential equations are discussed. New criteria on the existence and uniqueness of solutions are obtained.
Xiaohui Yang, Yuji Liu
semanticscholar   +1 more source

Existence, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales

Nonautonomous 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

A Closed-Form Solution to the Arbitrary Order Cauchy Problem with Propagators [PDF]

, 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  

Existence and approximation of solutions of some first order iterative differential equations

, 2010
Existence theorems for some iterative differential equations as well as convergence theorems for a fixed point iterative method designed to approximate these solutions, are proved under weaker conditions than those due to A.
V. Berinde
semanticscholar   +1 more source

Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type [PDF]

, 2013
Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.Comment: 5 pages, 14 ...
Baier, Robert, Donchev, Tzanko, Farkhi, Elza   +2 more
core   +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  

On the local structure of the Klein-Gordon field on curved spacetimes [PDF]

, 2000
This paper investigates wave-equations on spacetimes with a metric which is locally analytic in the time. We use recent results in the theory of the non-characteristic Cauchy problem to show that a solution to a wave-equation vanishing in an open set ...
Strohmaier, Alexander
core   +1 more source

SOLVING FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS TRANSFORM METHOD

, 2016
In this paper, we introduce an analytical method, which so called the homotopy analysis transform method (HATM) which is a combination of HAM and Laplace decomposition method (LDM).
M. Mohamed, M. R. Alharthi, R. A. Alotabi   +2 more
semanticscholar   +1 more source

Generalized (ψ,φ)-contraction to investigate Volterra integral inclusions and fractal fractional PDEs in super-metric space with numerical experiments

Nonlinear Engineering
This article demonstrates the behavior of generalized (ψ,φ\psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces.
Shah Syed Khayyam, Sarwar Muhammad, Hleili Manel, Samei Mohammad Esmael, Abdeljawad Thabet   +4 more
doaj   +1 more source

An Analytical Framework to Describe the Interactions Between Individuals and a Continuum

, 2010
We consider a discrete set of individual agents interacting with a continuum. Examples might be a predator facing a huge group of preys, or a few shepherd dogs driving a herd of sheeps.
A. Bressan, A.F. Filippov, D. Serre, G.B. Witman, J. Grimm, J.L. Vázquez, Magali Lécureux-Mercier, R. Borsche, R.J. LeVeque, R.M. Colombo, R.M. Colombo, Rinaldo M. Colombo, S.N. Kružkov, V. Capasso, W.D. Hoff   +14 more
core   +1 more source