Non-Differentiable Exact Solutions for the Nonlinear ODEs Defined on Fractal Sets
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DOI: 10.1142/s0218348x17400023
Abstract: In the present paper, a family of the special functions via the celebrated Mittag–Leffler function defined on the Cantor sets is investigated. The nonlinear local fractional ODEs (NLFODEs) are presented by following the rules of… read more here.
Keywords: solutions nonlinear; odes defined; non differentiable; differentiable exact ... See more keywords
Non-differentiable exact solutions of the local fractional Klein-Fock-Gordon equation on cantor sets
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DOI: 10.2298/tsci2302653c
Abstract: Based on the local fractional derivative, a new local fractional Klein-Fock-Gordon equation is derived in this paper for the first time. A simple method namely Yang?s special function method is used to seek for the… read more here.
Keywords: differentiable exact; local fractional; klein fock; non differentiable ... See more keywords