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

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Submitted: 2025-02-23; Published: 2025-02-23

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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.