Article

ON A PROBLEM FOR THE LOADED MIXED TYPEEQUATION WITH FRACTIONAL DERIVATIVE

O. Kh. AbdullaevNational University of Uzbekistan by Mirzo Ulugbeka, 100174, Uzbekistan, Tashkent c., VUZ gorodok st

DOAJ (DOAJ: Directory of Open Access Journals)repository2016en

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Abstract

An existence and an uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated in this research work. The uniqueness of solution is proved by the method of integral energy and the existence is proved by the method of integral equations.

Topics

Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis Differential Equations and Numerical Methods

Identifiers

DOI: 10.18454/2079-6641-2016-12-1-7-14

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