On a nonlinear fractional order differential inclusion
نویسندگان
چکیده
منابع مشابه
On a nonlinear fractional order differential inclusion
The existence of solutions for a nonlinear fractional order differential inclusion is investigated. Several results are obtained by using suitable fixed point theorems when the right hand side has convex or non convex values.
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1 Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran 2Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, Turkey 3 Institute of Space Sciences, P.O. BOX MG-23, 76900 Magurele, Bucharest, Romania 4Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O...
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Let D denote the Riemann-Liouville fractional differential operator of order α. Let 1 < α < 2 and 0 < β < α. Define the operator L by L = D − aD where a ∈ R. We give sufficient conditions for the existence of solutions of the nonlinear fractional boundary value problem Lu(t) + f(t, u(t)) = 0, 0 < t < 1, u(0) = 0, u(1) = 0.
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2010
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2010.1.78