Results 81 to 90 of about 35,805 (203)

THEORY OF FRACTIONAL IMPLICIT DIFFERENTIAL EQUATIONS WITH COMPLEX ORDER

Journal of Universal Mathematics, 2019
In this paper, we consider boundary value problems for the following nonlinear implicit differential equations with complex order D +x(t) = f t,x(t),D +x(t) , ? = m+i?, t ? J := [0,T],  ax(0)+bx(T) = c,where D + is the Caputo fractional derivative of order ? ? C. Let ? ? R , 0 < ? < 1, m ? (0,1], and f : J ×R ?
Elsayed ELSAYED, D. VİVEK, K. KANAGARAJAN   +2 more
openaire   +3 more sources

On Implicit $\psi$-Caputo Fractional Integro-differential Equations

, 2021
In this paper, we investigate the existence and uniqueness of solution of nonlinear $\psi$-Caputo fractional differential equation with the help of Banach fixed point theorem. Moreover, by using $\psi$-Gronwall inequality, we studied some qualitative properties of solutions such as estimate and stability.
Pachpatte, Deepak B., Yewale, Bhagwat R.
openaire   +1 more source

Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies

Advances in Difference Equations, 2018
In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak
Saïd Abbas, Mouffak Benchohra, Naima Hamidi, Yong Zhou   +3 more
doaj   +1 more source

Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions

Partial Differential Equations in Applied Mathematics
This paper investigates nonlinear implicit fractional differential equations involving Hilfer-Katugampola fractional derivatives. Novel techniques are developed to establish the existence and uniqueness of solutions for the proposed problem using fixed ...
Rahman Ullah Khan, Ioan-Lucian Popa
doaj   +1 more source

Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions

Advances in Difference Equations, 2018
In this paper, we study the periodic boundary value problems for the coupled systems of fractional implicit differential equations. Basing on the coincidence degree theory, we establish the existence and uniqueness theorems.
Wei Zhang, Wenbin Liu, Tingting Xue
doaj   +1 more source

Results on non local impulsive implicit Caputo-Hadamard fractional differential equations

Mathematical Modelling and Control
The results for a new modeling integral boundary value problem using Caputo-Hadamard impulsive implicit fractional differential equations with Banach space are investigated, along with the existence and uniqueness of solutions.
K. Venkatachalam, M. Sathish Kumar, P. Jayakumar   +2 more
semanticscholar   +1 more source

Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

Demonstratio Mathematica, 2019
In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem.
Benchohra Mouffak, Bouriah Soufyane, Nieto Juan J.   +2 more
doaj   +1 more source

Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives

Advances in Difference Equations, 2019
We present some results on the existence, uniqueness and Hyers–Ulam stability to the solution of an implicit coupled system of impulsive fractional differential equations having Hadamard type fractional derivative.
Usman Riaz, Akbar Zada, Zeeshan Ali, Yujun Cui, Jiafa Xu   +4 more
doaj   +1 more source

Uniqueness of Solutionfor Nonlinear Implicit Fractional Differential Equation

JOURNAL OF ADVANCES IN MATHEMATICS, 2016
We study the uniquenessof solutionfor nonlinear implicit fractional differential equation with initial condition involving Caputo fractional derivative. The technique used in our analysis is based on an application of Bihari and Medved inequalities.
openaire   +2 more sources

Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus

Boundary Value Problems
This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear implicit fractional Volterra-Fredholm integro-differential equations involving the Hilfer-Katugampola fractional derivative.
Maha M. Hamood, Abdulrahman A. Sharif, Kirtiwant P. Ghadle   +2 more
doaj   +1 more source