EXPLICIT SOLUTIONS OF THE CONFLUENT HYPERGEOMETRIC EQUATIN BY MEANS OF THE DIFFERINTEGRAL THEOREMS

Abstract

In fractional calculus, an area of applied mathematics, the differintegral is a combined differentiation/integration operator. Differintegral theory is used to solve some classes of differential equations and fractional differential equations. One of these equations is the confluent hypergeometric equation. In this paper, we intend to solve this equation by means of the differintegral theorems

Keywords

• Fractional calculus, Differintegral, Confluent hypergeometric equation, Differintegral theorems, Generalized Leibniz rule

DİFERİNTEGRAL TEOREMLERİ YARDIMIYLA KONFLUENT HİPERGEOMETRİK DENKLEMİNİN AÇIK ÇÖZÜMLERİ

Abstract

Uygulamalı matematiğin bir alanı olan kesirli hesapta diferintegral, türev/integral operatörünün bir birleşimidir. Diferansiyel denklemlerin ve kesirli diferansiyel denklemlerin bazı sınıflarını çözmek için diferintegral teorisi kullanılmaktadır. Bu denklemlerden birisi konfluent hipergeometrik denklemidir. Bu makalede, diferintegral teoremleri yardımıyla bu denklemi çözmeyi hedefleriz

Keywords

• Kesirli hesap, Diferintegral, Konfluent hipergeometrik denklemi, Diferintegral teoremleri, Genelleştirilmiş Leibniz kuralı

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