Solutions in the Discrete Fractional Forms of Two Differential Equations with Singular Points  

作　　者：Okkes OZTURK 

机构地区：[1]105th Street,Apt&Islahiye 27800,Turkey

出　　处：《Acta Mathematicae Applicatae Sinica》2019年第3期638-644,共7页应用数学学报（英文版）

摘　　要：In present note,we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC)due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs)and a class of associated Legendre equations(ALEs),respectively.Thus,we exhibit a new solution method for such second order linear ordinary differential equations with singular points.In present note, we apply the Leibniz formula with the nabla operator in discrete fractional calculus(DFC) due to obtain the discrete fractional solutions of a class of associated Bessel equations(ABEs) and a class of associated Legendre equations(ALEs), respectively. Thus, we exhibit a new solution method for such second order linear ordinary differential equations with singular points.

关 键 词：FRACTIONAL CALCULUS DISCRETE FRACTIONAL CALCULUS DISCRETE FRACTIONAL SOLUTIONS Nabla operator 

分 类 号：O1[理学—数学]