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

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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