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

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ON THE SOLUTIONS OF SOME DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN COMPLEX DOMAIN B. A. Sahakian

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.

DOI: 10.46991/PYSUA.2010.44.3.029 Physical and Mathematical Sciences, 45(1 (224) 29-34

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Keywords

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

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