Search Results - "Mohammed K.A. Kaabar"
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New conservation laws and exact solutions of the special case of the fifth-order KdV equation
Published in Journal of ocean engineering and science (01-08-2022)“…•Kaup-Kupershmidt (KK) equation’s conservation laws and exact solutions.•Exact solutions are obtained via the modified simple equation (MSE) method.•A…”
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A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
Published in Results in control and optimization (01-03-2023)“…In this article, we consider a Covid-19 model for a population involving diabetics as a subclass in the fractal–fractional (FF) sense of derivative. The study…”
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3
New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques
Published in Journal of ocean engineering and science (01-01-2023)“…•Abundant families of the Mikhailov-Novikov-Wang equation’s exact solutions are obtained via three different techniques.•The adopted techniques are generalized…”
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4
On some novel solution solutions to the generalized Schrödinger-Boussinesq equations for the interaction between complex short wave and real long wave envelope
Published in Journal of ocean engineering and science (01-08-2022)“…•Some novel solutions to the generalized Schrödinger-Boussinesq (gSBq) equations, which describe the interaction between complex short wave and real long wave…”
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5
Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography
Published in Journal of ocean engineering and science (01-03-2023)“…•This work investigates atmospheric internal waves, often known as gravity waves, and this arises within the ocean rather than at the interface.•A shallow…”
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Solving systems of conformable linear differential equations via the conformable exponential matrix
Published in Ain Shams Engineering Journal (01-12-2021)“…In this research paper, we discuss systems of conformable linear differential equations. The conformable fundamental exponential matrix has been used to…”
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7
Exploring the relationship dynamics between farmers and mediators through the lens of the Caputo fractional derivatives
Published in Results in control and optimization (01-09-2023)“…This study aims to propose a mathematical model in the frame of fractional derivative, that explores the relationship between crops, farmers, and…”
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Various defuzzification and ranking techniques for the heptagonal fuzzy number to prioritize the vulnerable countries of stroke disease
Published in Results in control and optimization (01-09-2023)“…The idea of fuzzy numbers is determined according to their uncertainty points, which include interval values, triangular, trapezoidal, and heptagonal fuzzy…”
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To investigate a class of multi-singular pointwise defined fractional $ q $–integro-differential equation with applications
Published in AIMS mathematics (01-01-2022)“…In the research work, we discuss a multi-singular pointwise defined fractional $ q $–integro-differential equation under some boundary conditions via the…”
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10
New results on complex conformable integral
Published in AIMS mathematics (01-01-2020)“…A new theory of analytic functions has been recently introduced in the sense of conformable fractional derivative. In addition, the concept of fractional…”
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New approximate-analytical solutions to partial differential equations via auxiliary function method
Published in Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters (01-12-2021)“…In this article, the optimal auxiliary function method (OAFM) is extended to general partial differential equations (PDEs). Our proposed method is highly…”
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Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives
Published in Mathematical methods in the applied sciences (30-05-2022)“…Wireless sensor networks (WSNs) are subject to cyber attacks. Security of such networks is a significant priority for everyone. Due to the network's frail…”
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13
Existence and uniqueness results for fractional boundary value problems with multiple orders of fractional derivatives and integrals
Published in Chaos, solitons and fractals (01-01-2023)“…In this article, we study boundary value problems for fractional differential equations with multiple orders of fractional derivatives and integrals, in both…”
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14
Distance based topological descriptors of zinc porphyrin dendrimer
Published in Journal of molecular structure (15-11-2022)“…•Dendrimers are hyperbranched molecules with unique structure and characteristics.•Topological indices are numeric quantities to characterize the properties of…”
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15
Deep Learning in Cancer Diagnosis and Prognosis Prediction: A Minireview on Challenges, Recent Trends, and Future Directions
Published in Computational and mathematical methods in medicine (31-10-2021)“…Deep learning (DL) is a branch of machine learning and artificial intelligence that has been applied to many areas in different domains such as health care and…”
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A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves
Published in Journal of ocean engineering and science (01-10-2024)“…•A novel technique, named auxiliary equation method, is employed in this research work.•New traveling wave solutions are obtained for the Kaup-Boussinesq…”
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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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Condensing Functions and Approximate Endpoint Criterion for the Existence Analysis of Quantum Integro-Difference FBVPs
Published in Symmetry (Basel) (01-03-2021)“…A nonlinear quantum boundary value problem (q-FBVP) formulated in the sense of quantum Caputo derivative, with fractional q-integro-difference conditions along…”
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New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method
Published in Mathematical methods in the applied sciences (30-09-2021)“…In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is formulated in the senses of Caputo fractional derivative and…”
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20
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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