Original Paper
Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann-Pettis integrals
Ravi P. Agarwal,
Vasile Lupulescu,
Donal O'Regan,
Ghaus ur Rahman,
Corresponding Author
Ravi P. Agarwal
Department of Mathematics, Texas A&M University-Kingville, Kingsville, TX, USA
Corresponding author: e-mail: [email protected], Phone: +1 (361) 593 3517, Fax: +1 (361) 593 3518Search for more papers by this authorVasile Lupulescu
Constantin Brancusi University, Republicii 1, 210152 Targu-Jiu, Romania
Search for more papers by this authorDonal O'Regan
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
Search for more papers by this authorGhaus ur Rahman
University of Swat, Khyber Pakhtunkhwa, Pakistan
Abdus Salam School of Mathematical Sciences, GC University Lahore, Lahore, 54000 Pakistan
Search for more papers by this authorRavi P. Agarwal,
Vasile Lupulescu,
Donal O'Regan,
Ghaus ur Rahman,
Corresponding Author
Ravi P. Agarwal
Department of Mathematics, Texas A&M University-Kingville, Kingsville, TX, USA
Corresponding author: e-mail: [email protected], Phone: +1 (361) 593 3517, Fax: +1 (361) 593 3518Search for more papers by this authorVasile Lupulescu
Constantin Brancusi University, Republicii 1, 210152 Targu-Jiu, Romania
Search for more papers by this authorDonal O'Regan
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
Search for more papers by this authorGhaus ur Rahman
University of Swat, Khyber Pakhtunkhwa, Pakistan
Abdus Salam School of Mathematical Sciences, GC University Lahore, Lahore, 54000 Pakistan
Search for more papers by this authorAbstract
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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