On generalized fractional integration by parts formulas and their applications to boundary value problems

DOI10.1515/gmj-2019-2006zbMath1487.26010OpenAlexW2914461209WikidataQ128311097 ScholiaQ128311097MaRDI QIDQ1983495

Rafał Kamocki

Publication date: 10 September 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2006

zbMATH Keywords

weak solutionboundary value problemsintegration by parts formulaHilfer fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear boundary value problems for ordinary differential equations (34B05) Fractional ordinary differential equations (34A08)

Related Items (2)

Controllability and observability of linear time-varying fractional systems ⋮ Fractional integration by parts and Sobolev‐type inequalities for ψ$$ \psi $$‐fractional operators

Cites Work

• Existence and uniqueness for a problem involving hilfer fractional derivative
• Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
• Fractals and fractional calculus in continuum mechanics
• Existence of a weak solution for fractional Euler-Lagrange equations
• A fractional fundamental lemma and a fractional integration by parts formula-applications to critical points of Bolza functionals and to linear boundary value problems
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