کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
468385 698225 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sequential fractional differential equations with three-point boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Sequential fractional differential equations with three-point boundary conditions
چکیده انگلیسی

This paper studies a nonlinear three-point boundary value problem of sequential fractional differential equations of order α+1α+1 with 1<α≤21<α≤2. The expression for Green’s function of the associated problem involving the classical gamma function and the generalized incomplete gamma function is obtained. Some existence results are obtained by means of Banach’s contraction mapping principle and Krasnoselskii’s fixed point theorem. An illustrative example is also presented. Existence results for a three-point third-order nonlocal boundary value problem of nonlinear ordinary differential equations follow as a special case of our results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 64, Issue 10, November 2012, Pages 3046–3052
نویسندگان
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