On some properties of the α-Exponential function

Kexue Li; Jigen Peng; Jinghuai Gao

doi:10.1080/10652469.2012.713359

On some properties of the α-Exponential function

Kexue Li
, Jigen Peng
, Jinghuai Gao

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This article is concerned with some properties of the α-Exponential function. The lack of semigroup property of α-Exponential functions leads to the definitions of mild solutions of fractional evolution equations with Riemann-Liouville fractional derivatives in some articles being not appropriate. Finally, a new equality on the α-Exponential function is presented.

Original language	English
Pages (from-to)	511-516
Number of pages	6
Journal	Integral Transforms and Special Functions
Volume	24
Issue number	7
DOIs	https://doi.org/10.1080/10652469.2012.713359
State	Published - Jul 2013

Keywords

Riemann-Liouville fractional derivative
a-exponential function
semigroup property

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10.1080/10652469.2012.713359

Cite this

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title = "On some properties of the α-Exponential function",

abstract = "This article is concerned with some properties of the α-Exponential function. The lack of semigroup property of α-Exponential functions leads to the definitions of mild solutions of fractional evolution equations with Riemann-Liouville fractional derivatives in some articles being not appropriate. Finally, a new equality on the α-Exponential function is presented.",

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AB - This article is concerned with some properties of the α-Exponential function. The lack of semigroup property of α-Exponential functions leads to the definitions of mild solutions of fractional evolution equations with Riemann-Liouville fractional derivatives in some articles being not appropriate. Finally, a new equality on the α-Exponential function is presented.

KW - Riemann-Liouville fractional derivative

KW - a-exponential function

KW - semigroup property

UR - https://www.scopus.com/pages/publications/84880587262

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DO - 10.1080/10652469.2012.713359

M3 - 文章

AN - SCOPUS:84880587262

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VL - 24

SP - 511

EP - 516

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 7

ER -

On some properties of the α-Exponential function

Abstract

Keywords

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