Fractal calculus involving gauge function

Golmankhaneh, Alireza K.; Baleanu, Dumitru

dc.contributor.author	Golmankhaneh, Alireza K.
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2017-04-19T07:45:59Z
dc.date.available	2017-04-19T07:45:59Z
dc.date.issued	2016-08
dc.identifier.citation	Golmankhaneh,A.K., Baleanu, D. (2016). Fractal calculus involving gauge function. Communications In Nonlinear Science And Numerical Simulation, 37, 125-130. http://dx.doi.org/10.1016/j.cnsns.2016.01.007	tr_TR
dc.identifier.issn	1007-5704
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1535
dc.description.abstract	Henstock-Kurzweil integral or gauge integral is the generalization of the Riemann integral. The functions which are not integrable because of singularity in the senses of Lebesgue or Riemann are gauge integrable. In this manuscript, we have generalized F-alpha-calculus using the gauge integral method for the integrating of the functions on fractal set subset of real-line where they have singularities. The suggested new method leads to the wider class of functions on the fractal subset of real-line that are F-alpha-integrable, Using gauge function we define F-alpha-derivative of functions their *F-alpha-derivative is not exist. The reported results can be used for generalizing the fundamental theorem of F-alpha-calculus	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Elsevier Science Bv	tr_TR
dc.relation.isversionof	10.1016/j.cnsns.2016.01.007	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Fractal Calculus	tr_TR
dc.subject	Fractional Derivative	tr_TR
dc.subject	Gauge Integral	tr_TR
dc.subject	Fractal Dimension	tr_TR
dc.title	Fractal calculus involving gauge function	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Communications In Nonlinear Science And Numerical Simulation	tr_TR
dc.identifier.volume	37	tr_TR
dc.identifier.startpage	125	tr_TR
dc.identifier.endpage	130	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR