Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative

B. Yu. Irgashev<sup>ab

a</sup> Namangan Engineering – Building Institute
^b V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan

Abstract: Partial solutions with a singularity which are expressed in terms of the Wright functions for equations with Riemann–Liouville fractional derivative are constructed.

Keywords: higher-order equation, Riemann–Liouville fractional derivative, partial solution, Wright function.

UDC: 517.953.1+517.581

Received: 20.08.2021
Revised: 20.12.2021

DOI: 10.4213/mzm13267

 English version: Mathematical Notes, 2022, 111:6, 894–898

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