A Different Solution Method for the Conﬂuent Hypergeometric Equation

Abstract

Fractional calculus theory includes defnition of the derivatives and integrals of arbitrary order. Thistheory is used to solve some classes of singular differential equations and fractional order differential equations.One of these equations is the conﬂuent hypergeometric equation. In this paper, we intend to solve this equation byapplying11 A Different Solution Method for the Confluent Hypergeometric Equation23 ABSTRACT: Fractional calculus theory includes definition of the derivatives and4 integrals of arbitrary order. This theory is used to solve some classes of singular5 differential equations and fractional order differential equations. One of these equations6 is the confluent hypergeometric equation. In this paper, we intend to solve this equation7 by applying

Özet

Kesirli hesap teorisi, keyf mertebeden türev ve integral tanımını kapsamaktadır. Diferansiyel denklemlerin ve kesirli diferansiyel denklemlerin bazı sınıﬂarını çözmek için bu teori kullanılmaktadır. Bu denklemlerden birisikonﬂuent hipergeometrik denklemidir. Bu makalede, farklı bir çözüm metodu olarak metodunun uygulanmasıyla bu denklemi çözmeyi hedeﬂemekteyiz.