A NON-LOCAL PROBLEM WITH DISCONTINUOS GLUING CONDITION FOR A LOADED WAVE-DIFFUSION EQUATION INVOLVES FRACTIONAL DERIVATIVE.

"Alfraganus" xalqaro Ilmiy Jurnali 2026 Open access

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Authors: Obidjon Khayrullaevich Abdullaev
DOI: 10.63294/isja/vol1iss6/74
Cited by: 0
References: 7

Abstract

In this work an existence and uniqueness of solution of non-local boundaryvalue problem with discontinuous matching condition for the loaded parabolic-hyperbolicequation involving the Riemann-Liouville fractional derivative have been investigated. Theuniqueness of solution is proved by the method of integral energy and the existence is provedby the method of integral equations.

Fields of Study & Subjects

Differential Equations and Boundary Problems Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis

Publication details

Journal / source
"Alfraganus" xalqaro Ilmiy Jurnali
Volume
1
Issue
6
Pages
69–77
Publication date
12 February 2026
Language
EN