scholarly journals Existence results for Hadamard and Riemann-Liouville functional fractional neutral integrodifferential equations with finite delay

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4611-4618
Author(s):  
Mohamed Abbas
Keyword(s):  
Existence And Uniqueness ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
Contraction Principle ◽  
Uniqueness Of Solutions ◽  
Finite Delay ◽  
Uniqueness Of The Solution

By using Leray-Schauder?s alternative, we study the existence and uniqueness of solutions for some Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay, whereas the uniqueness of the solution is established by Banach?s contraction principle. An illustrative example is also included.

scholarly journals Existence and Uniqueness of Solutions for the p(x)-Laplacian Equation with Convection Term

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1768
Author(s):  
Bin-Sheng Wang ◽  
Gang-Ling Hou ◽  
Bin Ge
Keyword(s):  
Existence And Uniqueness ◽  
Variable Exponent ◽  
Convection Term ◽  
Pseudomonotone Operators ◽  
Uniqueness Of Solutions ◽  
Laplacian Equation ◽  
Uniqueness Of The Solution ◽  
Gradient Based ◽  
Surjectivity Result ◽  
Quasilinear Elliptic

In this paper, we consider the existence and uniqueness of solutions for a quasilinear elliptic equation with a variable exponent and a reaction term depending on the gradient. Based on the surjectivity result for pseudomonotone operators, we prove the existence of at least one weak solution of such a problem. Furthermore, we obtain the uniqueness of the solution for the above problem under some considerations. Our results generalize and improve the existing results.

scholarly journals Fuzzy Volterra integral equations with in-finite delay

2009 ◽  
Vol 40 (1) ◽  
pp. 19-29 ◽  
Author(s):  
P. Prakash ◽  
V. Kalaiselvi
Keyword(s):  
Integral Equations ◽  
Existence And Uniqueness ◽  
Infinite Delay ◽  
Volterra Integral Equations ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Uniqueness Of Solutions ◽  
Finite Delay

In this paper, we study the existence and uniqueness of solutions for a class of fuzzy Volterra integral equations with infinite delay by using the method of successive approximations.

Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations

2014 ◽  
Vol 20 (2) ◽  
Author(s):  
Albo Carlos Cavalheiro
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
Existence And Uniqueness ◽  
Nonlinear Elliptic Equations ◽  
Existence Results ◽  
Uniqueness Of Solutions ◽  
Nonlinear Elliptic

AbstractIn this paper we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated to the degenerate nonlinear elliptic equations

scholarly journals Some Existence Results for Systems of Impulsive Stochastic Differential Equations

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sliman Mekki ◽  
Tayeb Blouhi ◽  
Juan J. Nieto ◽  
Abdelghani Ouahab
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Banach Spaces ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Impulsive Systems ◽  
Uniqueness Of Solutions

Abstract In this paper we study a class of impulsive systems of stochastic differential equations with infinite Brownian motions. Sufficient conditions for the existence and uniqueness of solutions are established by mean of some fixed point theorems in vector Banach spaces. An example is provided to illustrate the theory.

scholarly journals Existence Results for Fourth Order Non-Homogeneous Three-Point Boundary Value Problems

2021 ◽  
pp. 162-172
Author(s):  
R. Ravi Sankar ◽  
N. Sreedhar ◽  
K. R. Prasad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fourth Order ◽  
Existence And Uniqueness ◽  
Nonlinear Differential Equations ◽  
Existence Results ◽  
Point Boundary ◽  
Real Numbers ◽  
Uniqueness Of Solutions ◽  
Order Four

The present paper focuses on establishing the existence and uniqueness of solutions to the nonlinear differential equations of order four y(4)(t) + g(t, y(t)) = 0, t ∈ [a, b], together with the non-homogeneous three-point boundary conditions y(a) = 0, y′(a) = 0, y′′(a) = 0, y(b) − αy(ξ ) = λ, where 0 ≤ a < b, ξ ∈ (a, b), α, λ are real numbers and the function g: [a, b] × R→R is a continuous with g(t, 0) ≠ 0. With the aid of an estimate on the integral of kernel, the existence results to the problem are proved by employing fixed point theorem due to Banach.

ON THE STOCHASTIC 3D-LAGRANGIAN AVERAGED NAVIER–STOKES α-MODEL WITH FINITE DELAY

2005 ◽  
Vol 05 (02) ◽  
pp. 189-200 ◽  
Author(s):  
T. CARABALLO ◽  
A. M. MÁRQUEZ-DURÁN ◽  
J. REAL
Keyword(s):  
Bounded Domain ◽  
Existence And Uniqueness ◽  
Navier Stokes ◽  
Uniqueness Of Solutions ◽  
Stochastic Version ◽  
Finite Delay

Existence and uniqueness of solutions for a stochastic version of the 3D-Lagrangian averaged Navier–Stokes (LANS-α) equation in a bounded domain and containing some hereditary characteristics are proved.

scholarly journals Spatial externality and indeterminacy

2019 ◽  
Vol 14 (1) ◽  
pp. 102
Author(s):  
Emmanuelle Augeraud-Véron ◽  
Arnaud Ducrot
Keyword(s):  
Existence And Uniqueness ◽  
Supply And Demand ◽  
Uniqueness Of Solutions ◽  
Long Distance ◽  
Gaussian Kernels ◽  
Demand Curves ◽  
Uniqueness Of The Solution ◽  
Non Local ◽  
Spatial Externality ◽  
The Impact

We study conditions for existence and uniqueness of solutions in some space-structured economic models with long-distance interactions between locations. The solution of these models satisfies non local equations, in which the interactions are modeled by convolution terms. Using properties of the spectrum location obtained by studying the characteristic equation, we derive conditions for the existence and uniqueness of the solution. This enables us to characterize the degree of indeterminacy of the system being considered. We apply our methodology to a theoretical one-sector growth model with increasing returns, which takes into account technological interdependencies among countries that are modeled by spatial externalities. When symmetric interaction kernels are considered, we prove that conditions for which indeterminacy occurs are the same as the ones needed when no interactions are taken into account. For Gaussian kernels, we study the impact of the standard deviation parameter on the degree of indeterminacy. We prove that when some asymmetric kernels are considered, indeterminacy can occur with classical assumptions on supply and demand curves.

scholarly journals Existence Results for a Nonlocal Coupled System of Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 578
Author(s):  
Sotiris K. Ntouyas ◽  
Abrar Broom ◽  
Ahmed Alsaedi ◽  
Tareq Saeed ◽  
Bashir Ahmad
Keyword(s):  
Existence And Uniqueness ◽  
Fractional Derivatives ◽  
Fixed Point Theorems ◽  
Coupled System ◽  
Uniqueness Result ◽  
Existence Results ◽  
System Of Differential Equations ◽  
Liouville Type ◽  
Uniqueness Of Solutions ◽  
Fractional Derivatives And Integrals

In this paper, we study the existence and uniqueness of solutions for a new kind of nonlocal four-point fractional integro-differential system involving both left Caputo and right Riemann–Liouville fractional derivatives, and Riemann–Liouville type mixed integrals. The Banach and Schaefer fixed point theorems are used to obtain the desired results. An example illustrating the existence and uniqueness result is presented.

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