Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems

DOI10.1186/s13661-023-01745-yzbMath1529.26007MaRDI QIDQ6176033

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Publication date: 25 July 2023

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

Pettis integralboundary value problemsOrlicz spacefractional integral

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

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Cites Work

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• Second order three-point boundary value problems in abstract spaces
• Fractional order boundary value problem with integral boundary conditions involving Pettis integral
• On bounded weak solutions of a nonlinear differential equation in Banach spaces
• On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order
• On the fractional order \(m\)-point boundary value problem in reflexive Banach spaces and weak topologies
• Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations
• On \(p\)-Dunford integrable functions with values in Banach spaces
• Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus
• A Caputo fractional derivative of a function with respect to another function
• On positive solutions of a system of equations generated by Hadamard fractional operators
• On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems
• Weakly absolutely continuous functions without weak, but fractional weak derivatives
• On the solutions of Caputo-Hadamard Pettis-type fractional differential equations
• Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann-Pettis integrals
• On Vector Measures, Uniform Integrability and Orlicz Spaces
• On Denjoy type extensions of the Pettis integral
• The Denjoy extension of the Bochner, Pettis, and Dunford integrals
• NOWHERE WEAK DIFFERENTIABILITY OF THE PETTIS INTEGRAL
• Monotone iterative method for a class of nonlinear fractional differential equations on unbounded domains in Banach spaces
• On functions without pseudo derivatives having fractional pseudo derivatives
• SOME COMMENTS ON SCALAR DIFFERENTIATION OF VECTOR-VALUED FUNCTIONS
• Fractional Integration in Orlicz Spaces. I
• On differentiability of vector-valued functions of a real variable
• A Characterization of Strongly Measurable Pettis Integrable Functions
• On Integration in Vector Spaces
• On generalized fractional integrals