Results 31 to 40 of about 37,668 (284)
A Study on Existence and Controllability of Conformable Impulsive Equations
Axioms, 2023 We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems.
Nazim I. Mahmudov, Gülbahar Akgün
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Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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Demonstratio Mathematica, 2023 The fundamental objective of this article is to investigate about the boundary value problem with the uses of a generalized conformable fractional derivative introduced by Zarikaya et al. (On generalized the conformable calculus, TWMS J. App. Eng.
Miguel J. Vivas-Cortez +3 more
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Solutions of Conformable Fractional-Order SIR Epidemic Model
International Journal of Differential Equations, 2021 In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM ...
Atimad Harir +2 more
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On characterisations of the input to state stability properties for conformable fractional order bilinear systems [PDF]
, 2022 This paper proposes for the first time the theoretical requirements that a fractional-order bilinear system with conformable derivative has to fulfil in order to satisfy different input-to-state stability (ISS) properties.
Castaldi P. +2 more
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$\alpha$-Differentiable functions in complex plane
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 In this paper, the conformable fractional derivative of order $\alpha$ is defined in complex plane. Regarding to multi-valued function $z^{1-\alpha}$, we obtain fractional Cauchy–Riemann equations which in case of $\alpha=1$ give classical Cauchy ...
Ronak Pashaei +3 more
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AIMS Mathematics, 2023 In this paper, we study a boundary value problem for the hybrid fractional integro-differential system involving the conformable fractional derivative. We first discuss the existence of solutions using the Krasnoselskii fixed point theorem.
Ala Taier, R. Wu, Naveed Iqbal
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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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Cobweb model with conformable fractional derivatives
Mathematical Methods in the Applied Sciences, 2018 In this paper, the cobweb model is reformulated in terms of fractional‐order derivatives. In particular, we describe linear cobweb models in continuous time by using conformable fractional‐order derivatives. Then, the general solutions as well as stability criteria for the proposed models are given.
Martin Bohner, Veysel Fuat Hatipoğlu
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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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