Fractional Difference Equations with Real Variable

We independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several methods of how to solve certain fractional differe...

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Main Authors: Jin-Fa Cheng, Yu-Ming Chu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/918529
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author Jin-Fa Cheng
Yu-Ming Chu
author_facet Jin-Fa Cheng
Yu-Ming Chu
author_sort Jin-Fa Cheng
collection DOAJ
description We independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several methods of how to solve certain fractional difference equations.
format Article
id doaj-art-68d40623d62f437cb4646a0aefb1889d
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-68d40623d62f437cb4646a0aefb1889d2025-08-20T03:33:31ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/918529918529Fractional Difference Equations with Real VariableJin-Fa Cheng0Yu-Ming Chu1School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, ChinaSchool of Mathematics and Computation Science, Hunan City University, Yiyang, Hunan 413000, ChinaWe independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several methods of how to solve certain fractional difference equations.http://dx.doi.org/10.1155/2012/918529
spellingShingle Jin-Fa Cheng
Yu-Ming Chu
Fractional Difference Equations with Real Variable
Abstract and Applied Analysis
title Fractional Difference Equations with Real Variable
title_full Fractional Difference Equations with Real Variable
title_fullStr Fractional Difference Equations with Real Variable
title_full_unstemmed Fractional Difference Equations with Real Variable
title_short Fractional Difference Equations with Real Variable
title_sort fractional difference equations with real variable
url http://dx.doi.org/10.1155/2012/918529
work_keys_str_mv AT jinfacheng fractionaldifferenceequationswithrealvariable
AT yumingchu fractionaldifferenceequationswithrealvariable