Fractal boundary value problems for integral and differential equations with local fractional operators

Fractal boundary value problems for integral and differential equations with local fractional operators

In the present paper we investigate the fractal boundary value problems for the Fredholm\Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative exa...

Full description

Bibliographic Details
Main Authors: Yang Xiao-Jun, Baleanub Dumitru, Lazarević Mihailo P., Cajić Milan S.
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2015-01-01
Series:Thermal Science
Subjects:
local fractional decomposition method
heat conduction equations
integral equations
wave equations
boundary value problems
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-98361300103Y.pdf
id doaj-25b875afa0354ac0914f37089b9c5bb8
record_format Article
spelling doaj-25b875afa0354ac0914f37089b9c5bb82021-01-02T00:47:19ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632015-01-0119395996610.2298/TSCI130717103Y0354-98361300103YFractal boundary value problems for integral and differential equations with local fractional operatorsYang Xiao-Jun0Baleanub Dumitru1Lazarević Mihailo P.2Cajić Milan S.3Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, ChinaDepartment of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey + Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia + Institute of SpFaculty of Mechanical Engineering, BelgradeMathematical Institute SANU, BelgradeIn the present paper we investigate the fractal boundary value problems for the Fredholm\Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results. [Projekat Ministarstva nauke Republike Srbije, br. OI 174001, III41006 i br. TI 35006]http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-98361300103Y.pdflocal fractional decomposition methodheat conduction equationsintegral equationswave equationsboundary value problems
collection DOAJ
language English
format Article
sources DOAJ
author Yang Xiao-Jun
Baleanub Dumitru
Lazarević Mihailo P.
Cajić Milan S.
spellingShingle Yang Xiao-Jun
Baleanub Dumitru
Lazarević Mihailo P.
Cajić Milan S.
Fractal boundary value problems for integral and differential equations with local fractional operators
Thermal Science
local fractional decomposition method
heat conduction equations
integral equations
wave equations
boundary value problems
author_facet Yang Xiao-Jun
Baleanub Dumitru
Lazarević Mihailo P.
Cajić Milan S.
author_sort Yang Xiao-Jun
title Fractal boundary value problems for integral and differential equations with local fractional operators
title_short Fractal boundary value problems for integral and differential equations with local fractional operators
title_full Fractal boundary value problems for integral and differential equations with local fractional operators
title_fullStr Fractal boundary value problems for integral and differential equations with local fractional operators
title_full_unstemmed Fractal boundary value problems for integral and differential equations with local fractional operators
title_sort fractal boundary value problems for integral and differential equations with local fractional operators
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2015-01-01
description In the present paper we investigate the fractal boundary value problems for the Fredholm\Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results. [Projekat Ministarstva nauke Republike Srbije, br. OI 174001, III41006 i br. TI 35006]
topic local fractional decomposition method
heat conduction equations
integral equations
wave equations
boundary value problems
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-98361300103Y.pdf
work_keys_str_mv AT yangxiaojun fractalboundaryvalueproblemsforintegralanddifferentialequationswithlocalfractionaloperators
AT baleanubdumitru fractalboundaryvalueproblemsforintegralanddifferentialequationswithlocalfractionaloperators
AT lazarevicmihailop fractalboundaryvalueproblemsforintegralanddifferentialequationswithlocalfractionaloperators
AT cajicmilans fractalboundaryvalueproblemsforintegralanddifferentialequationswithlocalfractionaloperators
_version_ 1724363510648930304

Similar Items