Results 21 to 30 of about 1,726 (292)
Modeling of pressure–volume controlled artificial respiration with local derivatives
Advances in Difference Equations, 2021 We attempt to motivate utilization of some local derivatives of arbitrary orders in clinical medicine. For this purpose, we provide two efficient solution methods for various problems that occur in nature by employing the local proportional derivative ...
Bahar Acay +3 more
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Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus
Journal of Mathematics, 2021 The conformable derivative and its properties have been recently introduced. In this research work, we propose and prove some new results on the conformable calculus.
Francisco Martínez +3 more
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Journal of Ocean Engineering and Science, 2019 In this paper, the (G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV (FGHSC KdV) system.
Hadi Rezazadeh +3 more
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AIMS Mathematics, 2020 This paper provides generalized transversality conditions for the problems of variational calculus and optimal control, constructed by the conformable derivative.
Beyza Billur İskender Eroǧlu +1 more
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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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Cohomology and Conformal Derivations of Bihom-Lie Conformal Superalgebras
Journal of Algebra, Number Theory: Advances and Applications, 2021 In this paper, we introduce the notion of BiHom-Lie conformal superalgebras. We develop its representation theory and define the cohomology group with coefficients in a module. Finally, we introduce conformal derivations of BiHom-Lie conformal superalgebras and study some of their properties.
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Comparative study of two techniques on some nonlinear problems based ussing conformable derivative
Nonlinear Engineering, 2020 In this paper, three eminent types of time-fractional nonlinear partial differential equations are considered, which are the fractional foam drainage equation, fractional Gardner equation, and fractional Fornberg–Whitham equation in the sense of ...
Zulfiqar Aniqa, Ahmad Jamshad
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On some properties of the conformable fractional derivative
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
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Controllability of Differential Systems with the General Conformable Derivative
Complexity, 2021 In this paper, the controllability of differential systems with the general conformable derivative is studied. By elaborating the rank criterion and the conformable Gram criterion, sufficient and necessary conditions to investigate that a linear general ...
Ferrag Azouz +4 more
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A New Conformable Fractional Derivative and Applications [PDF]
International Journal of Differential Equations, 2021 This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition
Ahmed Kajounı +3 more
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