2010; Physical and Mathematical Sciences, 45(1 (224): 29–34
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ON THE SOLUTIONS OF SOME DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN COMPLEX DOMAIN

B. A. Sahakian*

Received: 2025-02-23 · Published: 2010-10-21

© 2010 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON THE SOLUTIONS OF SOME DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN COMPLEX DOMAIN
Author
B. A. Sahakian
Published
2010-10-21
Licence
Creative Commons Attribution 4.0 International

Abstract

The paper studies differential equations of fractional order of the form D1/ρy(z)+λy(z)=f(z) in the complex domain, whereρ≥1, λ is an arbitrary parameter, D1/ρ is the Riemann–Liouville differential operator. For functions of some classes Cauchy type problems are considered.
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