Multi-term fractional differential equations in a nonreflexive Banach space

DOI10.1186/1687-1847-2013-302zbMath1394.34008OpenAlexW2168690171WikidataQ59317910 ScholiaQ59317910MaRDI QIDQ1653190

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

Publication date: 17 July 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-302

zbMATH Keywords

Pettis integralnonreflexive Banach spacesweak measure of noncompactnessfractional pseudoderivativemultiterm fractional differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Pseudodifferential operators (47G30) Fractional ordinary differential equations (34A08)

Related Items (8)

On the theory of fractional calculus in the Pettis-function spaces ⋮ Unnamed Item ⋮ Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann-Pettis integrals ⋮ Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus ⋮ Hadamard-type fractional calculus in Banach spaces ⋮ 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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