Work

The nonlinear time-fractional differential equations with integral conditions.

Year: 2021

Type: article

Abstract: In this paper, we present a nonlinear equation modeling a time-fractional pseudoparabolic problem, involving fractional Caputo derivative where the fractional order is 0 < α < 1. We first started with the associated linear problem, we establish the energy inequalities to obtaine a priori estimate,and demonstrate the density of the operator’s range generated. Accordingly, the existence and uniqueness of the weak solutions are given, then we use the preceding results to handle the nonlinear case via an iterative process.

Source: Journal of Prime Research in Mathematics

Authors: H. Merad, F. Merghadi, A. Merad

Institutions: Université Larbi Tébessi, Larbi Ben M'hidi University of Oum El Bouaghi

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7220604752

FWCI:

Cites: 1

Cited by:

Related to: 10