Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann-Pettis integrals

DOI10.1002/mana.201400010zbMath1339.34005OpenAlexW2392319904MaRDI QIDQ2798099

Vasile Lupulescu, Ghaus ur Rahman, Ravi P. Agarwal, Donal O'Regan

Publication date: 1 April 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400010

zbMATH Keywords

weak solutionfractional differential equationRiemann-Pettis integralCaputo weak derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Random nonlinear operators (47H40) Fractional ordinary differential equations (34A08)

Related Items (10)

Weak and pseudo-solutions of an arbitrary (fractional) orders differential equation in nonreflexive Banach space ⋮ On the theory of fractional calculus in the Pettis-function spaces ⋮ Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals ⋮ On coupled nonlinear evolution system of fractional order with a proportional delay ⋮ Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems ⋮ 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 functions without pseudo derivatives having fractional pseudo derivatives ⋮ On the solutions of Caputo-Hadamard Pettis-type fractional differential equations ⋮ Unnamed Item

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