Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (5)
- Authors
- Abdo, Mohammed S.; Panchal, Satish K.
- Contact information
- Abdo, Mohammed S.: Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad-431 004 (M.S.) India Department of Mathematics Hodeidah University Al-Hodeidah-3114 Yemen; ; Panchal, Satish K.: Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad-431 004 (M.S.) India; @@gmail.com
- Keywords
- fractional functional differential equations; fractional derivative and fractional integral; exixtence and continuous dependence; fixed point theorem
- Abstract
In this paper, we consider a weighted neutral functional differential equation of fractional order 0 < < 1, with nonzero initial values, infinite delay, and the standard Riemann-Liouville fractional derivative. By using a variety of tools of fractional calculus including the Schauder fixed point theorem and the Banach fixed point theorem, we verify the existence, uniqueness and continuous dependence of solution of weighted neutral problem
- Pages
- 535–549
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/72076
Journal of Siberian Federal University. Mathematics & Physics / Weighted Fractional Neutral Functional Differential Equations
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