Results 41 to 50 of about 37,668 (284)
Journal of Taibah University for Science, 2023 This paper reveals the conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation, which is applied to nonlinear fibre optics together with photonic crystal fibres.
Qinglian Yin, Ben Gao, Zhang Shi
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New results on complex conformable integral [PDF]
, 2020 A new theory of analytic functions has been recently introduced in the sense of conformable fractional derivative. In addition, the concept of fractional contour integral has also been developed.
Kaabar, Mohammed K. A. +3 more
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Existence and uniqueness theorems for sequential linear conformable fractional differential equations [PDF]
, 2015 Recently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014).
Gökdoğan, Ahmet +2 more
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On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative [PDF]
ITM Web of Conferences, 2018 In this study, we have obtained analytical solutions of fractional Cauchy problem by using q-Homotopy Analysis Method (q-HAM) featuring conformable derivative. We have considered different situations according to the homogeneity and linearity of the fractional Cauchy differential equation.
Mehmet Yavuz, Necati Özdemir
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Acta Universitatis Sapientiae: Mathematica, 2015 In this paper our aim is to find the solutions of time and space fractional heat differential equations by using new definition of fractional derivative called conformable fractional derivative.
Çenesiz Yücel, Kurt Ali
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Dynamic cobweb models with conformable fractional derivatives
Nonlinear Analysis: Hybrid Systems, 2019 Abstract In this paper, basic and more realistic dynamic cobweb models are developed in terms of conformable fractional derivatives. The general solutions and stability criteria for the proposed models are given. Moreover, the developed models are illustrated with examples on several time scales.
Martin Bohner, Veysel Fuat Hatipoğlu
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Certain Developments of Laguerre Equation and Laguerre Polynomials via Fractional Calculus [PDF]
, 2022 Recently, much interests have been paid in studying fractional calculus due to its effectiveness in modeling many of the natural phenomena. Motivated essentially by the success of the applications of the orthogonal polynomials, this paper is mainly ...
Shihab, Haifa, Younis Al-khayat, Thair
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure.
Çenesiz Yucel, Kurt Ali, Tasbozan Orkun
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Journal of Mathematics, 2020 In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved.
Tingting Guan, Guotao Wang
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Conformable Euler's theorem on homogeneous functions [PDF]
, 2019 Recently, the conformable derivative and its properties have been introduced. In this paper, we propose and prove some new results on the conformable multivariable fractional calculus.
Martínez González, Francisco Martín +2 more
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