کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9506329 1631840 2005 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New exact solutions of differential equations derived by fractional calculus
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
New exact solutions of differential equations derived by fractional calculus
چکیده انگلیسی
Fractional calculus generalizes the derivative and antiderivative operations dn/dzn of differential and integral calculus from integer orders n to the entire complex plane. Methods are presented for using this generalized calculus with Laplace transforms of complex-order derivatives to solve analytically many differential equations in physics, facilitate numerical computations, and generate new infinite-series representations of functions. As examples, new exact analytic solutions of differential equations, including new generalized Bessel equations with complex-power-law variable coefficients, are derived.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 170, Issue 2, 15 November 2005, Pages 1261-1270
نویسندگان
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