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generalized mittag-leffler stability of nonlinear fractional regularized prabhakar differential systems
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نویسنده
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eshaghi shiva ,ansari alireza ,khoshsiar ghaziani reza
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 2 - صفحه:665 -678
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چکیده
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This work is devoted to study of the stability analysis of generalized fractional nonlinear system including the regularized prabhakar derivative. we present several criteria for the generalized mittag-leffler stability and the asymptotic stability of this system by using the lyapunov direct method. further, we provide two test cases to illustrate the effectiveness of results. we apply the numerical method to solve the generalized fractional system with the regularized prabhakar fractional systems and reveal asymptotic stability behavior of the presented systems by employing numerical simulation.
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کلیدواژه
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generalized mittag-leffler stability ,asymptotic stability ,regularized prabhakar derivative ,lyapunov direct method ,numerical simulation
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آدرس
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shahrekord university, faculty of mathematical sciences, department of applied mathematics and computer sciences, iran, shahrekord university, faculty of mathematical sciences, department of applied mathematics and computer sciences, iran, shahrekord university, faculty of mathematical sciences, department of applied mathematics and computer sciences, iran
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پست الکترونیکی
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khoshsar@sci.sku.ac.ir
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Authors
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