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controllability of impulsive fractional nonlinear control system with mittag-leffler kernel in banach space
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نویسنده
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naji fadhil abbas ,al-sharaa iftichar
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 1 - صفحه:3257 -3280
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چکیده
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In this paper, we study the controllability of a nonlinear impulsive fractional control system with mittag-leffler kernel in banach space. firstly, we present the mild solution of the control system using fractional calculus and semigroup theory. we set sufficient conditions to prove the controllability of the control system using the nussbaum fixed point theorem. finally, to illustrate our results, an example is given.
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کلیدواژه
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controllability ,fractional calculus ,mittag-leffler ,semigroup theory
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آدرس
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university of babylon, college of education for pure sciences, department of mathematics, iraq, university of babylon, college of education for pure sciences, department of mathematics, iraq
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پست الکترونیکی
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pure.iftichar.talb@uobabylon.edu.iq
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Authors
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