Work

Existence and Location of a Unique Solution of Caputo-Liouville Type Langevin Equation with Finitely Many Nonlinearities and Nonlocal Boundary Conditions

Year: 2021

Type: article

Abstract: In this paper, we discuss the existence of a unique solution of Caputo-Liouville type Langevin equation involving two fractional orders and finitely many nonlinearities, equipped with nonlocal boundary conditions via Banach contraction mapping principle. The location of the unique solution of the given problem is also presented. In addition, we discuss the existence of solutions for the problem at hand by means of Krasnoselskii's fixed point theorem. Examples are constructed for the illustration of the obtained results. The paper concludes with some interesting remarks.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-19-2021-465

Authors: Bashir Ahmad, Ahmed Alsaedi, Hanan Al-Johany, Sotiris K. Ntouyas

Institutions: King Abdulaziz University, University of Ioannina

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $450

OpenAlex ID: W3164654986

FWCI:

Cites: 29

Cited by:

Related to: 10