DOAJ Open Access 2021

On a Hilfer Type Fractional Differential Equation with Nonlinear Right-Hand Side

T. K. Yuldashev B. J. Kadirkulov A. R. Marakhimov

Abstrak

In this article we consider the questions of one-valued solvability and numerical realization of initial value problem for a nonlinear Hilfer type fractional differential equation with maxima. By the aid of uncomplicated integral transformation based on Dirichlet formula, this initial value problem is reduced to the nonlinear Volterra type fractional integral equation. The theorem of existence and uniqueness of the solution of given initial value problem in the segment under consideration is proved. For numerical realization of solution the generalized Jacobi-Galerkin method is applied. Illustrative examples are provided.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

T. K. Yuldashev

B. J. Kadirkulov

A. R. Marakhimov

Format Sitasi

APA MLA BibTeX

Yuldashev, T.K., Kadirkulov, B.J., Marakhimov, A.R. (2021). On a Hilfer Type Fractional Differential Equation with Nonlinear Right-Hand Side. https://doi.org/10.31489/2021m3/140-155

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021m3/140-155
Akses: Open Access ✓