ON THE SOLUTIONS OF SOME DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN COMPLEX DOMAIN

Authors

  • B. A. Sahakian Chair of Mathematical Analysis, YSU

DOI:

https://doi.org/10.46991/PYSU:A/2010.44.3.029

Keywords:

Riemann–Liouville operators, differential equations of fractional order, complex domain

Abstract

The paper studies differential equations of fractional order of the form $D^{1/\rho}y(z)+\lambda y(z)=f(z)$ in the complex domain, where$\rho\geq 1$, $\lambda$ is an arbitrary parameter, $D^{1/\rho}$ is the Riemann–Liouville differential operator. For functions of some classes Cauchy type problems are considered.

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Published

2010-10-21

How to Cite

Sahakian, B. A. (2010). ON THE SOLUTIONS OF SOME DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN COMPLEX DOMAIN. Proceedings of the YSU A: Physical and Mathematical Sciences, 44(3 (223), 29–34. https://doi.org/10.46991/PYSU:A/2010.44.3.029

Issue

Section

Mathematics