Results 21 to 30 of about 141,207 (269)
Arab Journal of Basic and Applied Sciences, 2018 The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
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Fractional variational problems on conformable calculus
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 The authors discuss the optimality conditions of the variational problems including conformable fractional derivatives. They obtain the optimality conditions for Öxed end-point variational problems, and for variable end-point variational problems. Then they investigate the isoperimetric problem, and variational problems with holonomic constraints ...
ÖĞREKÇİ, Süleyman +1 more
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Towards a Non-conformable Fractional Calculus of n-Variables [PDF]
Journal of Mathematics and Applications, 2020 Using a rather complicated approach, the authors define a differential operator that they claim to be of fractional order but that, in fact, can easily be seen to be just a multiple of the classical first derivative. Specifically, in the one-dimensional case, their operator is nothing but \(N^\alpha_x f(a) = \exp(a^{-\alpha}) f'(a)\), and the extension
Martínez, Francisco +1 more
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Boundary calculus for conformally compact manifolds [PDF]
Indiana University Mathematics Journal, 2014 35 pages. Added reference to a new article applying ideas.
Gover, Rod, Waldron, Andrew
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A conformable calculus of radial basis functions and its applications [PDF]
, 2018 In this paper we introduced the conformable derivatives and integrals of radial basis functions (RBF) to solve conformable fractional differential equations via RBF collocation method. For that, firstly, we found the conformable derivatives and integrals
Fuat Usta, Usta, Fuat
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Fractional calculus in data fitting
Alexandria Engineering Journal, 2020 This paper investigates the role of fractional calculus in data fitting. We show that while the Caputo and Atangana-Baleanu fractional derivatives can be applied successfully in data fitting, this might not be true for the conformable derivative.
N.H. Can, H. Jafari, M.N. Ncube
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Hermite-Hadamard-type inequalities for conformable integrals
, 2022 In this study, some inequalities of Hermite-Hadamard type for integrals arising in conformable fractional calculus are presented. In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but ...
Pshtiwan MOHAMMED +8 more
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Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2019 In this paper, a novel conformable fractional order (FO) sliding mode control technique is studied for a class of FO chaotic systems in the presence of uncertainties and disturbances.
Sara Haghighatnia +2 more
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Preliminary Observations on the Novel Approaches in Fuzzy Conformable Differential Calculus [PDF]
, 2022 This paper presents a novel extension of fuzzy calculus by integrating it with conformable calculus to introduce the fuzzy conformable derivative, a mathematical tool designed to handle the complexities of systems characterized by both uncertainty and ...
Ahmed, Ahlaam Salih
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Mathematics, 2023 We introduce the conformable fractional (CF) noninstantaneous impulsive stochastic evolution equations with fractional Brownian motion (fBm) and Poisson jumps. The approximate controllability for the considered problem was investigated.
Yazid Alhojilan, Hamdy M. Ahmed
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