The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative

The IVPs with local fractional derivative are considered in this paper. Analytical solutions for the homogeneous and nonhomogeneous local fractional differential equations are discussed by using the Yang-Laplace transform.

Saved in:
Bibliographic Details
Main Authors: Chun-Guang Zhao, Ai-Min Yang, Hossein Jafari, Ahmad Haghbin
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/386459
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832562237831643136
author Chun-Guang Zhao
Ai-Min Yang
Hossein Jafari
Ahmad Haghbin
author_facet Chun-Guang Zhao
Ai-Min Yang
Hossein Jafari
Ahmad Haghbin
author_sort Chun-Guang Zhao
collection DOAJ
description The IVPs with local fractional derivative are considered in this paper. Analytical solutions for the homogeneous and nonhomogeneous local fractional differential equations are discussed by using the Yang-Laplace transform.
format Article
id doaj-art-0fb6bbf729b64fe7b45eefa7af49e7b4
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-0fb6bbf729b64fe7b45eefa7af49e7b42025-02-03T01:23:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/386459386459The Yang-Laplace Transform for Solving the IVPs with Local Fractional DerivativeChun-Guang Zhao0Ai-Min Yang1Hossein Jafari2Ahmad Haghbin3Department of Mathematics, Handan College, Handan, Hebei 056004, ChinaCollege of Science, Hebei United University, Tangshan 063009, ChinaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47415-416, IranDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47415-416, IranThe IVPs with local fractional derivative are considered in this paper. Analytical solutions for the homogeneous and nonhomogeneous local fractional differential equations are discussed by using the Yang-Laplace transform.http://dx.doi.org/10.1155/2014/386459
spellingShingle Chun-Guang Zhao
Ai-Min Yang
Hossein Jafari
Ahmad Haghbin
The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative
Abstract and Applied Analysis
title The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative
title_full The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative
title_fullStr The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative
title_full_unstemmed The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative
title_short The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative
title_sort yang laplace transform for solving the ivps with local fractional derivative
url http://dx.doi.org/10.1155/2014/386459
work_keys_str_mv AT chunguangzhao theyanglaplacetransformforsolvingtheivpswithlocalfractionalderivative
AT aiminyang theyanglaplacetransformforsolvingtheivpswithlocalfractionalderivative
AT hosseinjafari theyanglaplacetransformforsolvingtheivpswithlocalfractionalderivative
AT ahmadhaghbin theyanglaplacetransformforsolvingtheivpswithlocalfractionalderivative
AT chunguangzhao yanglaplacetransformforsolvingtheivpswithlocalfractionalderivative
AT aiminyang yanglaplacetransformforsolvingtheivpswithlocalfractionalderivative
AT hosseinjafari yanglaplacetransformforsolvingtheivpswithlocalfractionalderivative
AT ahmadhaghbin yanglaplacetransformforsolvingtheivpswithlocalfractionalderivative