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Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations
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نویسنده
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khan a. ,shah k. ,li y. ,khan t.s.
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منبع
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journal of function spaces - 2017 - دوره : 2017 - شماره : 0
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چکیده
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We discuss existence,uniqueness,and hyers-ulam stability of solutions for coupled nonlinear fractional order differential equations (fodes) with boundary conditions. using generalized metric space,we obtain some relaxed conditions for uniqueness of positive solutions for the mentioned problem by using perov's fixed point theorem. moreover,necessary and sufficient conditions are obtained for existence of at least one solution by leray-schauder-type fixed point theorem. further,we also develop some conditions for hyers-ulam stability. to demonstrate our main result,we provide a proper example. © 2017 aziz khan et al.
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آدرس
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department of mathematics,university of peshawar,peshawar,khyber pakhtunkhwa, Pakistan, department of mathematics,university of malakand,chakdara dir (l),khyber pakhtunkhwa, Pakistan, department of mathematics,sun yat-sen university,guangzhou, China, department of mathematics,university of peshawar,peshawar,khyber pakhtunkhwa, Pakistan
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Authors
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