Search Results - "K. A. Kaabar, Mohammed"
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Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method
Published in International journal of differential equations (18-08-2021)“…In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform…”
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2
A New Generalized Definition of Fractal–Fractional Derivative with Some Applications
Published in Mathematical and computational applications (01-06-2024)“…In this study, a new generalized fractal–fractional (FF) derivative is proposed. By applying this definition to some elementary functions, we show its…”
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3
On Martínez–Kaabar Fractal–Fractional Volterra Integral Equations of the Second Kind
Published in Fractal and fractional (01-08-2024)“…The extension of the theory of generalized fractal–fractional calculus, named in this article as Martínez–Kaabar Fractal–Fractional (MKFF) calculus, is…”
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4
Radio and Radial Radio Numbers of Certain Sunflower Extended Graphs
Published in International journal of mathematics and mathematical sciences (30-01-2022)“…Communication systems including AM and FM radio stations transmitting signals are capable of generating interference due to unwanted radio frequency signals…”
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5
Catalan Transform of k-Balancing Sequences
Published in International journal of mathematics and mathematical sciences (22-12-2021)“…In this work, the Catalan transformation (CT) of k-balancing sequences, Bk,nn≥0, is introduced. Furthermore, the obtained Catalan transformation CBk,nn≥0 was…”
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6
Zero and Nonzero Mass Flux Effects of Bioconvective Viscoelastic Nanofluid over a 3D Riga Surface with the Swimming of Gyrotactic Microorganisms
Published in Advances in mathematical physics (16-07-2021)“…This work addresses 3D bioconvective viscoelastic nanofluid flow across a heated Riga surface with nonlinear radiation, swimming microorganisms, and…”
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7
Radial Radio Number of Hexagonal and Its Derived Networks
Published in International journal of mathematics and mathematical sciences (2021)“…A mapping ℸ: VG⟶N∪0 for a connected graph G=V,E is called a radial radio labelling if it satisfies the inequality ℸx− ℸ y+dx,y≥radG+1∀x,y∈VG, where radG is…”
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8
An integrated intuitionistic dense fuzzy Entropy-COPRAS-WASPAS approach for manufacturing robot selection
Published in Advances in mechanical engineering (01-03-2023)“…Manufacturing robots are used for industrial purposes. Robots used for manufacturing purpose have the power to create products from raw materials and are…”
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9
Dynamics of a fractional plankton–fish model under the influence of toxicity, refuge, and combine-harvesting efforts
Published in Journal of inequalities and applications (08-11-2022)“…In this work, we analyze plankton–fish dynamics in the presence of toxicity, refuge, and combine-harvesting efforts by a considering Holling type-II functional…”
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10
On the Stochastic Modeling of COVID-19 under the Environmental White Noise
Published in Journal of function spaces (2022)“…The COVID-19 pandemic has caused emotional loss to people around the world and provides an unusual test for public welfare, educational framework, food…”
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Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative
Published in Computers in biology and medicine (01-06-2022)“…The range of effectiveness of the novel corona virus, known as COVID-19, has been continuously spread worldwide with the severity of associated disease and…”
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12
New Exact Soliton Solutions of the (3+1)-Dimensional Conformable Wazwaz–Benjamin–Bona–Mahony Equation via Two Novel Techniques
Published in Journal of function spaces (2021)“…In this work, the (3+1)-dimensional Wazwaz–Benjamin–Bona–Mahony equation is formulated in the sense of conformable derivative. Two novel methods of generalized…”
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13
The Existence, Uniqueness, and Stability Analysis of the Discrete Fractional Three-Point Boundary Value Problem for the Elastic Beam Equation
Published in Symmetry (Basel) (01-05-2021)“…An elastic beam equation (EBEq) described by a fourth-order fractional difference equation is proposed in this work with three-point boundary conditions…”
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14
Blowing-up solutions for time-fractional equations on a bounded domain
Published in Advances in mechanical engineering (01-10-2022)“…This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff…”
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15
Monotone Iterative Method for ψ-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions
Published in Fractal and fractional (01-09-2021)“…The main contribution of this paper is to prove the existence of extremal solutions for a novel class of ψ-Caputo fractional differential equation with…”
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16
Novel Results on Legendre Polynomials in the Sense of a Generalized Fractional Derivative
Published in Mathematical and computational applications (01-08-2024)“…In this article, new results are investigated in the context of the recently introduced Abu-Shady–Kaabar fractional derivative. First, we solve the generalized…”
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17
Qualitative Analysis of a Hyperchaotic Lorenz-Stenflo Mathematical Model via the Caputo Fractional Operator
Published in Journal of function spaces (27-01-2022)“…The Lorenz-Stenflo mathematical model describes a complex dynamical behavior related to atmospheric acoustic-gravity waves. In this study, qualitative analysis…”
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18
On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo’s criterion
Published in Journal of inequalities and applications (28-02-2023)“…In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional…”
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A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability
Published in Boundary value problems (21-08-2021)“…In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions…”
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20
Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations
Published in Journal of inequalities and applications (18-07-2022)“…We study sequential fractional pantograph q -differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle…”
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