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On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative

M. Kh. RuzievInstitute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, University Str. 4b, Tashkent 100174, UzbekistanР.Т. ЗуннуновInstitute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, University Str. 4b, Tashkent 100174, Uzbekistan

Fractal and Fractionaljournal2022en

ABI

Annotatsiya

The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved. In the hyperbolic part of the considered domain, the functional equation is solved by the iteration method. The problem is reduced to solving the Volterra integro-differential equation.

Mavzular

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

Identifikatorlar

DOI: 10.3390/fractalfract6020110

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