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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.20 No.1
- 발행연도
- 2016.3
- 수록면
- 51 - 82 (32page)
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초록· 키워드
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In view of ideas for semigroups, fractional calculus, resolvent operator and Banach contraction principle, this manuscript is generally included with existence and controllability (EaC) results for fractional neutral integro-differential systems (FNIDS) with statedependent delay (SDD) in Banach spaces. Finally, an examples are also provided to illustrate the theoretical results.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. EXISTENCE RESULTS
4. CONTROLLABILITY RESULTS
5. APPLICATIONS
REFERENCES
참고문헌 (35)
참고문헌 신청
D. Baleanu, J.A.T. Machado, and A.C.J. Luo, Fractional Dynamics and Control, Springer, New York, USA, (2012).
A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amesterdam, (2006).
G. Bonanno, R. Rodriguez-Lopez, and S. Tersian, Existence of solutions to boundary value problem for impulsive fractional differential equations, Fractional Calculus and Applied Analysis, 17(3) (2014), 717–744.
R. Rodriguez-Lopez and S. Tersian, Multiple solutions to boundary value problem for impulsive fractional differential equations, Fractional Calculus and Applied Analysis, 17(4) (2014), 1016–1038.
R.P. Agarwal, V. Lupulescu, D. O’Regan, and G. Rahman, Fractional calculus and fractional differential equations in nonreflexive Banach spaces, Communications in Nonlinear Science and Numerical Simulation, 20(1) (2015), 59–73.
A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amesterdam, (2006).
G. Bonanno, R. Rodriguez-Lopez, and S. Tersian, Existence of solutions to boundary value problem for impulsive fractional differential equations, Fractional Calculus and Applied Analysis, 17(3) (2014), 717–744.
R. Rodriguez-Lopez and S. Tersian, Multiple solutions to boundary value problem for impulsive fractional differential equations, Fractional Calculus and Applied Analysis, 17(4) (2014), 1016–1038.
R.P. Agarwal, V. Lupulescu, D. O’Regan, and G. Rahman, Fractional calculus and fractional differential equations in nonreflexive Banach spaces, Communications in Nonlinear Science and Numerical Simulation, 20(1) (2015), 59–73.
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UCI(KEPA) : I410-ECN-0101-2016-410-002754259