Results 21 to 30 of about 178,665 (198)

Existence of Solutions for Coupled Higher-Order Fractional Integro-Differential Equations with Nonlocal Integral and Multi-Point Boundary Conditions Depending on Lower-Order Fractional Derivatives and Integrals

Mathematics, 2022
In this article, we investigate the existence and uniqueness of solutions for a nonlinear coupled system of Liouville–Caputo type fractional integro-differential equations supplemented with non-local discrete and integral boundary conditions.
M. Subramanian, J. Alzabut, M. Abbas, Chatthai Thaiprayoon, W. Sudsutad   +4 more
semanticscholar   +1 more source

Caputo Proportional Fractional Differential Equation with Multi-point Boundary Condition

Bangmod International Journal of Mathematical and Computational Science, 2022
In this article, inspired by the proportional fractional derivative, we investigate the uniqueness of the solutions for generalized Caputo proportional differential equations with multi-point boundary conditions. We convert the formulated problem into an equivalent integral equation with the support of Green's function. The results we obtain generalize
Muhammad Jamilu Ibrahim, Idris Ahmed, Anas Sulaiman Muhammad   +2 more
openaire   +1 more source

On a nonlinear coupled system of differential equations involving Hilfer fractional derivative and Riemann-Liouville mixed operators with nonlocal integro-multi-point boundary conditions

AIMS Mathematics, 2022
We study a coupled system of multi-term Hilfer fractional differential equations of different orders involving non-integral and autonomous type Riemann-Liouville mixed integral nonlinearities supplemented with nonlocal coupled multi-point and Riemann ...
A. Alsaedi, B. Ahmad, Afrah Assolami, S. Ntouyas   +3 more
semanticscholar   +1 more source

Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions

Advances in Difference Equations, 2021
This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions.
Ahmed Alsaedi, Amjad F. Albideewi, Sotiris K. Ntouyas, Bashir Ahmad   +3 more
doaj   +1 more source

Multi-point boundary value problem for first order impulsive integro-differential equations with multi-point jump conditions [PDF]

Boundary Value Problems, 2012
In this article we introduce a new definition of impulsive conditions for boundary value problems of first order impulsive integro-differential equations with multi-point boundary conditions. By using the method of lower and upper solutions in reversed order coupled with the monotone iterative technique, we obtain the extremal solutions of the boundary
Chatthai Thaiprayoon, Decha Samana, Jessada Tariboon   +2 more
openaire   +1 more source

Research of the three-point boundary value problems for nonlinear second-order difference equation

Journal of Hebei University of Science and Technology, 2021
In order to extend the basic theory of nonlinear discrete boundary value problems,this paper studied the sufficient conditions for the existence of positive solutions for a class of nonlinear second-order difference equations with three-point boundary ...
Wenying WEI, Yude JI, Yanping GUO
doaj   +1 more source

A pp-Laplacian problem with a multi-point boundary condition

Nonlinear Analysis, 2004
The authors prove the existence of a solution to a generalized multipoint BVP involving the Lebesgue-Stieltjes integral, for a scalar equation with a \(p\)-Laplacian-like differential operator. Their result generalizes previous existence results for second-order ODEs with nonlinearities growing at most linearly.
Garcia Huidobro, M, Manasevich, R, Yan, P, Zhang, MR   +3 more
openaire   +4 more sources

Existence theory for fractional differential equations with non-separated type nonlocal multi-point and multi-strip boundary conditions

Advances in Difference Equations, 2018
We introduce a more general class of fractional-order boundary value problems involving non-separated type multi-point and multi-strip boundary conditions.
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi, Wafa Shammakh, Ravi P. Agarwal   +4 more
doaj   +1 more source

Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations

Boundary Value Problems, 2021
In the paper, we study a boundary value problem for a class of ψ-Hilfer fractional-order Langevin equations with multi-point integral boundary conditions. Existence and uniqueness results are established by using well-known fixed point theorems. Examples
Cholticha Nuchpong, Sotiris K. Ntouyas, Devaraj Vivek, Jessada Tariboon   +3 more
doaj   +1 more source

A Self-Adjoint Coupled System of Nonlinear Ordinary Differential Equations with Nonlocal Multi-Point Boundary Conditions on an Arbitrary Domain

Applied Sciences, 2021
The main object of this paper is to investigate the existence of solutions for a self-adjoint coupled system of nonlinear second-order ordinary differential equations equipped with nonlocal multi-point coupled boundary conditions on an arbitrary domain ...
H. Srivastava, S. Ntouyas, Mona Alsulami, A. Alsaedi, B. Ahmad   +4 more
semanticscholar   +1 more source