کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
767036 897140 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semilinear fractional differential equations based on a new integral operator approach
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Semilinear fractional differential equations based on a new integral operator approach
چکیده انگلیسی

Semilinear fractional differential equations (SFDEs) often arise in some dynamical systems. In most of the existing literature, the fixed point theorems are used to prove the existence and uniqueness of the solutions of SFDEs. In this paper, we give a new way to prove the existence and uniqueness of the solutions by introducing a new integral operator associated with the Mittag–Leffler function.


► We introduce a new integral operator containing the Mittag–Leffler function.
► We establish an integral inequality associated with the integral operator.
► Using the integral operator, we give a new way to study well-posedness of semilinear fractional differential equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 12, December 2012, Pages 5143–5150
نویسندگان
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