A boundary value problem with an integral condition for a certain fractional differential equation

• Published in: Mathematical modelling and analysis Vol. 30; no. 3; pp. 405 - 420
• Main Authors: Hammou, Bouthina Sabah, Djerad, Abdelkader, Memou, Ameur, Latrous, Chahla
• Format: Journal Article
• Language: English
• Published: Vilnius Gediminas Technical University 03.07.2025
• Subjects: Caputo derivatives; energy inequality; fractional differential equation; integral boundary conditions; strong solution; fractional differential equation; integral boundary conditions; energy inequality; strong solution; Caputo derivatives

The aim of this work is to prove the existence and the uniqueness of the solution of one dimensional initial boundary value problem for a parabolic equation with a Caputo time fractional differential operator supplemented by periodic nonlocal boundary condition and integral condition. First, an a pr...