Impulsive Problems for Fractional Differential Equations with Nonlocal Boundary Value Conditions
نویسندگان
چکیده
منابع مشابه
Boundary Value Problems for Nonlinear Fractional Differential Equations and Inclusions with Nonlocal and Integral Boundary Conditions
In this paper, we study a class of boundary value problems of nonlinear fractional differential equations and inclusions with nonlocal and integral boundary conditions. Some new existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples are given to illustrate the results.
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*Correspondence: [email protected] School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P.R. China Abstract In this paper, we establish some sufficient conditions for the existence of solutions to two classes of boundary value problems for fractional differential equations with nonlocal boundary conditions. Our goal is to establish some criteria of existence for the bound...
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and Applied Analysis 3 To prove the existence of solutions of problem 1.1 , we need the following fixed-point theorems. Theorem 2.2 see 51 . Let E be a Banach space. Assume that Ω is an open bounded subset of E with θ ∈ Ω and let T : Ω → E be a completely continuous operator such that ‖Tu‖ ≤ ‖u‖, ∀u ∈ ∂Ω. 2.3 Then T has a fixed point in Ω. Lemma 2.3 see 1 . For α > 0, the general solution of fr...
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* Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract This article studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with strip conditions...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/510808