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Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann‐Pettis integrals
Author(s) -
Agarwal Ravi P.,
Lupulescu Vasile,
O'Regan Donal,
Rahman Ghaus ur
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400010
Subject(s) - mathematics , fractional calculus , banach space , pure mathematics , mathematical analysis , class (philosophy) , artificial intelligence , computer science
The aim of this paper is to develop fractional calculus for vector‐valued functions using the weak Riemann integral. Also, we establish the existence of weak solutions for a class of fractional differential equations with fractional weak derivatives.
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