کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634003 | 1340683 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus
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کلمات کلیدی
Bessel differential equationAnalytic continuation - ادامه تحلیلیprincipal value - ارزش اصلیAnalytic functions - تابع تحلیلیGauss hypergeometric function - تابع هگزوگرافی گاوسEuler transformation - تحول اویلرfractional calculus - حساب کسری Index law - قانون فهرستGeneralized Leibniz rule - قانون لایبنیتس متمرکزOrdinary and partial differential equations - معادلات دیفرانسیل عادی و جزئیLinearity property - ویژگی خطی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus](/preview/png/4634003.png)
چکیده انگلیسی
Judging by the remarkably large number of recent publications on fractional calculus and its applications in several widely diverse areas of mathematical, physical and engineering sciences, the current popularity and importance of the subject of fractional calculus cannot be overemphasized. Motivated by some of these potentially useful developments, many authors have recently demonstrated the usefulness of fractional calculus in the derivation of explicit particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders. The main object of the present paper is to show how several interesting contributions on this subject, involving a certain class of ordinary differential equations associated with (for example) the celebrated Gauss and Jacobi differential equations, can be obtained (in a unified manner) by suitably applying some general theorems on explicit particular solutions of a family of linear ordinary fractional differintegral equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 199, Issue 2, 1 June 2008, Pages 760-769
Journal: Applied Mathematics and Computation - Volume 199, Issue 2, 1 June 2008, Pages 760-769
نویسندگان
Pin-Yu Wang, Shy-Der Lin, H.M. Srivastava,