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In this research paper considering a differential equation with impulsive effect and dependent delay and applied Banach fixed point theorem using the impulsive condition to the impulsive fractional functional differential equation of an order $\alpha\in (1,2)$ to get an uniqueness solution. At last, theorem is verified by using a numerical example to illustrate the uniqueness solution.
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참고문헌 (16)
참고문헌 신청
M. Benchohra / 2010 / Impulsive fractional differential equations with state dependent delay / Commun. Appl. Anal. 14(2):213~224
J. Dabas / 2013 / Impulsive neutral fractional integro-differential equation with state dependent delay and integral boundary condition / Electron. J. Differential Equations 2013(273):1~13
M. Feckan / 2011 / On the concept and existence of solution for impul-sive fractional differential equations / Commun. Nonlinear Sci. Numer. Simul. 17:3050~3060
G. R. Gautam / 2014 / Existence result of fractional functional integro-differential equation with not instantaneous impulse / Int. J. Adv. Appl. Math. Mech. 1(3):11~21
G. R. Gautam / 2014 / Existence results for impulsive fractional integro-differential equations with state dependent delay on infinite domain / Mathematics in Engineering, Science and Aerospace 5(2):185~196
J. Dabas / 2013 / Impulsive neutral fractional integro-differential equation with state dependent delay and integral boundary condition / Electron. J. Differential Equations 2013(273):1~13
M. Feckan / 2011 / On the concept and existence of solution for impul-sive fractional differential equations / Commun. Nonlinear Sci. Numer. Simul. 17:3050~3060
G. R. Gautam / 2014 / Existence result of fractional functional integro-differential equation with not instantaneous impulse / Int. J. Adv. Appl. Math. Mech. 1(3):11~21
G. R. Gautam / 2014 / Existence results for impulsive fractional integro-differential equations with state dependent delay on infinite domain / Mathematics in Engineering, Science and Aerospace 5(2):185~196
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