A Boundary Value Problem with the Generalized M. Saigo Operator for a Mixed-Type Equation with the Hilfer Fractional Derivative

Authors

Keywords:

Mixed type equation, a boundary value problem, Hilfer operator, M. Saigo operator, Bitsadze–Samarskii type conditions

Abstract

This work studies the existence of a solution to a nonlocal boundary value problem
involving the generalized M. Saigo operator for a diffusion equation with the Hilfer derivative
and a degenerate hyperbolic equation in a bounded domain. The problem is reduced to an
ordinary fractional differential equation with the Riemann–Liouville operator.

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Published

2026-02-03

How to Cite

Ruziev, M., & Yuldasheva, N. (2026). A Boundary Value Problem with the Generalized M. Saigo Operator for a Mixed-Type Equation with the Hilfer Fractional Derivative. Journal of Osh State University. Differential Equations, (1), 86–92. Retrieved from https://journal.oshsu.kg/index.php/diffeq/article/view/3944

Issue

No. 1 (2026): Journal of Osh State University. Differential Equations

Section

Articles