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Mathematical modeling and optimal control analysis of lumpy skin disease in domestic cattle. [PDF]

Sci Rep
Renu, Yadav RP.
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Applications of Yang-Fourier Transform to Local Fractional Equations with Local Fractional Derivative and Local Fractional Integral

Advanced Materials Research, 2012
Yang-Fourier transform is the generalization of the fractional Fourier transform of non-differential functions on fractal space. In this paper, we show applications of Yang-Fourier transform to local fractional equations with local fractional derivative and local fractional ...
Wei Ping Zhong, Feng Gao, Xiao Ming Shen
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Local Fractional Integral Transforms and their Applications

2016
Xiao-jun Yang, D. Baleanu, H. Srivastava
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Some Hermite‐Hadamard's type local fractional integral inequalities for generalized γ‐preinvex function with applications

Mathematical methods in the applied sciences, 2022
In this article, we define and investigate the concept of generalized γ$$ \gamma $$ ‐preinvex function on the Yang's fractal set ℝξ ...
Sa’ud Al-Sa’di, M. Bibi, M. Muddassar   +2 more
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Hadamard type local fractional integral inequalities for generalized harmonically convex functions and applications

Mathematical methods in the applied sciences, 2020
In this paper, we establish a local fractional integral identity with a parameter λ on Yang's fractal sets. Using this identity, by generalized power mean inequality and generalized Hölder inequality, two Hermite‐Hadamard type local fractional integral ...
Wenbing Sun, Qiong Liu
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Some new inequalities for generalized h‐convex functions involving local fractional integral operators with Mittag‐Leffler kernel

Mathematical methods in the applied sciences, 2020
In this paper, we firstly construct two local fractional integral operators with Mittag‐Leffler kernel on Yang's fractal sets. Then, two local fractional integral identities with the first‐ and second‐order derivatives are derived.
Wenbing Sun
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Local Fractional and singular integrals on open subsets

Journal d'Analyse Mathématique, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harboure, Eleonor Ofelia, Salinas, Oscar Mario, Viviani, Beatriz Eleonora   +2 more
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Generalized Ostrowski type inequalities for local fractional integrals

Proceedings of the American Mathematical Society, 2016
First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal setsRαR^{\alpha }(0>α≤1)\left ( 0>\alpha \leq 1\right )of real line numbers. Secondly, we obtain some new inequalities using the generalized convex function on fractal setsRαR^{\alpha }.
Sarikaya, Mehmet Zeki, Budak, HÜSEYİN
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HERMITE–HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED s-PREINVEX FUNCTIONS AND THEIR GENERALIZATION

, 2020
In this paper, the definition of generalized s-preinvex function on Yang’s fractal sets [Formula: see text] is proposed, and the generalized Hermite–Hadamard’s inequality for this class of functions is established.
Wenbing Sun
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SOME LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED PREINVEX FUNCTIONS AND APPLICATIONS TO NUMERICAL QUADRATURE

Fractals, 2019
In this paper, a new identity with parameters involving local fractional integrals is derived. Using this identity, some general local fractional integral inequalities for generalized preinvex functions are established.
Wenbing Sun
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