Search Results - "Abdeljawad, Thabet"

A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel by Abdeljawad, Thabet

“…In this article, we extend fractional operators with nonsingular Mittag-Leffler kernels, a study initiated recently by Atangana and Baleanu, from order α ∈ [ 0…”
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Fractional operators with exponential kernels and a Lyapunov type inequality by Abdeljawad, Thabet

“…In this article, we extend fractional calculus with nonsingular exponential kernels, initiated recently by Caputo and Fabrizio, to higher order. The extension…”
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Generalized fractional derivatives generated by a class of local proportional derivatives by Jarad, Fahd, Abdeljawad, Thabet, Alzabut, Jehad

“…Recently, Anderson and Ulness [Adv. Dyn. Syst. Appl. 10 , 109 (2015)] utilized the concept of the proportional derivative controller to modify the conformable…”
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Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel by Yavuz, Mehmet, Abdeljawad, Thabet

“…This paper presents a fundamental solution method for nonlinear fractional regularized long-wave (RLW) models. Since analytical methods cannot be applied…”
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Hybrid nanofluid flow within the conical gap between the cone and the surface of a rotating disk by Gul, Taza, Kashifullah, Bilal, M., Alghamdi, Wajdi, Asjad, M. Imran, Abdeljawad, Thabet

“…The thermal management of the flow of the hybrid nanofluid within the conical gap between a cone and a disk is analyzed. Four different cases of flow are…”
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Qualitative Analysis of a Mathematical Model in the Time of COVID-19 by Jarad, Fahd, Mahariq, Ibrahim, Abdeljawad (Maraaba), T., Shah, Kamal

“…In this article, a qualitative analysis of the mathematical model of novel corona virus named COVID-19 under nonsingular derivative of fractional order is…”
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Two discrete Mittag-Leffler extensions of the Cayley-exponential function by Abdeljawad, Thabet

“…Nabla discrete fractional Mittag-Leffler (ML) functions are the key of discrete fractional calculus within nabla analysis since they extend nabla discrete…”
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On Riemann‐Liouville fractional q–difference equations and their application to retarded logistic type model by Abdeljawad, Thabet, Alzabut, Jehad

“…In this note, we study a type of nonlinear Riemann‐Liouville fractional q–difference equations. By using the Krasnoselskii fixed‐point theorem, we investigate…”
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Modification of certain fractional integral inequalities for convex functions by Mohammed, Pshtiwan Othman, Abdeljawad, Thabet

“…We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the…”
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Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel by Mohammed, Pshtiwan Othman, Abdeljawad, Thabet

“…At first, we construct a connection between the Atangana–Baleanu and the Riemann–Liouville fractional integrals of a function with respect to a monotone…”
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On Delta and Nabla Caputo Fractional Differences and Dual Identities by Abdeljawad, Thabet

“…We investigate two types of dual identities for Caputo fractional differences. The first type relates nabla and delta type fractional sums and differences. The…”
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On fractional derivatives with generalized Mittag-Leffler kernels by Abdeljawad, Thabet, Baleanu, Dumitru

“…Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are…”
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On more general forms of proportional fractional operators by Jarad, Fahd, Alqudah, Manar A., Abdeljawad, Thabet

“…In this article, more general types of fractional proportional integrals and derivatives are proposed. Some properties of these operators are discussed…”
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An efficient tool for solving two‐dimensional fuzzy fractional‐ordered heat equation by Arfan, Muhammad, Shah, Kamal, Abdeljawad, Thabet, Hammouch, Zakia

“…In this work we develop an algorithm to compute analytical solution for a two‐dimensional fuzzy heat equation involving external source term with fractional…”
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On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals by Rahman, Gauhar, Nisar, Kottakkaran Sooppy, Ghanbari, Behzad, Abdeljawad, Thabet

“…In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable…”
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On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative by Shah, Kamal, Jarad, Fahd, Abdeljawad, Thabet

“…In this manuscript, we investigate epidemic model of dengue fever disease under Caputo and Fabrizio fractional derivative abbreviated as (CFFD). The respective…”
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Applying new fixed point theorems on fractional and ordinary differential equations by Karapınar, Erdal, Abdeljawad, Thabet, Jarad, Fahd

“…In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results…”
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Discrete generalized fractional operators defined using h‐discrete Mittag‐Leffler kernels and applications to AB fractional difference systems by Othman Mohammed, Pshtiwan, Abdeljawad, Thabet

“…This study investigates the h‐fractional difference operators with h‐discrete generalized Mittag‐Leffler kernels ( hEϕ,δ‾ω(Θ,t−ρh(sh)) in the sense of Riemann…”
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Sharp estimates of the unique solution for two‐point fractional boundary value problems with conformable derivative by Laadjal, Zaid, Abdeljawad, Thabet, Jarad, Fahd

“…In this work, we investigate the condition of the given interval which ensures the existence and uniqueness of solutions for two‐point boundary value problems…”
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Controlled Metric Type Spaces and the Related Contraction Principle by Mlaiki, Nabil, Aydi, Hassen, Souayah, Nizar, Abdeljawad, Thabet

“…In this article, we introduce a new extension of b-metric spaces, called controlled metric type spaces, by employing a control function α ( x , y ) of the…”
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