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Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann‐Pettis integrals |
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| Authors: | Ravi P Agarwal Vasile Lupulescu Donal O'Regan Ghaus ur Rahman |
| Affiliation: | 1. Department of Mathematics, Texas A&M University‐Kingville, Kingsville, TX, USA;2. Constantin Brancusi University, Targu‐Jiu, Romania;3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland;4. University of Swat, Khyber Pakhtunkhwa, Pakistan;5. Abdus Salam School of Mathematical Sciences, GC University Lahore, Lahore, Pakistan |
| Abstract: | 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. |
| Keywords: | Weak solution Riemann‐Pettis integral Caputo weak derivative fractional differential equation 26A33 47H40 60H25 |
