Russian Journal of Mathematical Physics
, Volume 14, Issue 3, pp 357365
First online:
Explicit solutions of a certain class of differential equations by means of fractional calculus
 H. M. SrivastavaAffiliated withDepartment of Mathematics and Statistics, University of Victoria Email author
 , ShyDer LinAffiliated withDepartment of Applied Mathematics, Chung Yuan Christian University ChungLi
 , YiTing ChaoAffiliated withDepartment of Applied Mathematics, Chung Yuan Christian University ChungLi
 , PinYu WangAffiliated withDepartment of Mechanical Engineering, NanYa Institute of Technology ChungLi
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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 interesting 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 recent contributions on this subject, involving a certain class of ordinary 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.
 Title
 Explicit solutions of a certain class of differential equations by means of fractional calculus
 Journal

Russian Journal of Mathematical Physics
Volume 14, Issue 3 , pp 357365
 Cover Date
 200709
 DOI
 10.1134/S1061920807030090
 Print ISSN
 10619208
 Online ISSN
 15556638
 Publisher
 Nauka/Interperiodica
 Additional Links
 Authors

 H. M. Srivastava ^{(1)}
 ShyDer Lin ^{(2)}
 YiTing Chao ^{(2)}
 PinYu Wang ^{(3)}
 Author Affiliations

 1. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3P4, Canada
 2. Department of Applied Mathematics, Chung Yuan Christian University ChungLi, 32023, Taiwan, Republic of China
 3. Department of Mechanical Engineering, NanYa Institute of Technology ChungLi, 32034, Taiwan, Republic of China