Article

NON-LOCAL PROBLEM FOR A LOADED PARABOLIC-HYPERBOLIC EQUATION INVOLVING CAPUTO AND ERDELYI-KOBER OPERATORS

OBIDJON ABDULLAEVRomanovskiy Institute of Mathematics , Tashkent , 100174 , Uzbekistan

Global and Stochastic Analysisjournal2022en

ABI

Abstract

This research work devoted to the formulation and the study of non-local boundary value problem with integral gluing condition for the loaded parabolic-hyperbolic equation with Caputo fractional derivatives.Loaded terms of a considering equation are Erdelyi-Kober integrals, which involves a trace of solution on the line of changing type (i.e.u(x, 0)).Formulated problem is investigates, considering to cases related with the coefficients of a non-local condition.Unique solvability of the investigated problem, is proved reducing to the second kind Volterra type integral equations.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in inverse problems

Identifiers

DOI: 10.64837/gsa.9.2.5

Citations and references

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