Cauchy problem for ordinary differential equations of distributed order

DOI10.1007/s10958-024-07158-1zbMATH Open1547.3402MaRDI QIDQ6585715

A. V. Pskhu

Publication date: 12 August 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Explicit solutions, first integrals of ordinary differential equations (34A05) Fractional ordinary differential equations (34A08)

Cites Work

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• On the theory of the continual integro-differentiation operator
• Boundary-value problem with shift for a linear ordinary differential equation with the operator of discretely distributed differentiation
• Problem with Sturm type conditions for a second-order ordinary differential equation with a distributed differentiation operator
• THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE
• Transmutation operators intertwining first-order and distributed-order derivatives

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