Publications

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Fractional modeling of nonlinear dispersive systems: on the comparative study of Whitham–Broer–Kaup equations using various derivatives

Scientific Reports | Vol. 2026 | 2026

DOI: https://doi.org/10.1038/s41598-026-45501-5

Hyperfuzzy and SuperHyperfuzzy Weighted Averages

STATISTICS, OPTIMIZATION AND INFORMATION COMPUTING | 2026

DOI: https://doi.org/10.19139/soic-2310-5070-3092

Sumudu Decomposition for the Fractional Dual Phase-Lag of Thermoelastic Nano-Beams Supported by Pasternak Foundations for Nonlocal Vibrations

Journal of Vibration Engineering & Technologies | Vol. 14 | Issue 2026 | 2026

DOI: https://doi.org/10.1007/s42417-025-02297-4

Sumudu Decomposition for the Fractional Dual Phase-Lag of Thermoelastic Nano-Beams Supported by Pasternak Foundations for Nonlocal Vibrations

Journal of Vibration Engineering & Technologies | Vol. 14 | Issue 127 | 2026

DOI: https://doi.org/10.1007/s42417-025-02297-4

Advanced Numerical Methods for Fractional-Order Differential Systems

European Journal of Pure and Applied Mathematics | Vol. 19 | Issue 1 | 2026

DOI: https://doi.org/10.29020/nybg.ejpam.v19i1.7205

Impact of torsion-trace coupling on anisotropic compact stars using the MIT bag model

Elsevier | Vol. 1024 | 2026

DOI: https://doi.org/10.1016/j.nuclphysb.2026.117350

Thermoelastic Oscillations of a Solid Medium with Voids via the Influence of Atangana-Baleanu-Caputo Fractional Derivative

Symmetry | Vol. 18 | Issue 2 | 2026

DOI: https://doi.org/10.3390/sym18020359

Thermoelastic Oscillations of a Solid Medium with Voids via the Influence of Atangana-Baleanu-Caputo Fractional Derivative

Symmetry -MDPI | Vol. 18 | Issue 2 | 2026

DOI: https://doi.org/10.3390/sym18020359

Vibrational Analysis of Thermoelastic Beams on Dual-Parameter Foundations via the Fractional Three-Phase-Lag Approach

Micromachines -MDPI | Vol. 17 | Issue 2 | 2026

DOI: https://doi.org/10.3390/mi17020241

Dynamics and Chaos Analysis of the Fractional-Order Lü System Using a Hybrid Approach

Fractal and Fractional | Vol. 10 | Issue 1 | 2026

DOI: https://doi.org/10.3390/fractalfract10010051

Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations

Boundary Value Problems | Vol. 23 | Issue 2026 | 2026

DOI: https://doi.org/10.1186/s13661-026-02219-7

Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations

Boundary Value Problems | Vol. 2026 | Issue 1 | 2026

DOI: https://doi.org/10.1186/s13661-026-02219-7

Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations

Boundary Value Problems | 2026

DOI: https://doi.org/10.1186/s13661-026-02219-7

Exploring Stability and Chaos in the Fractional-Order Arneodo System via Grünwald-Letnikov Scheme

MATHEMATICS | Vol. 13 | Issue 24 | 2025

DOI: https://doi.org/10.3390/math13243925

Exploring Stability and Chaos in the Fractional-Order Arneodo System via Grünwald–Letnikov Scheme

Mathematics -MDPI | Vol. 13 | Issue Mathematics 2025, 13, 3925 | 2025

DOI: https://doi.org/10.3390/math13243925

Exploring Stability and Chaos in the Fractional-Order Arneodo System via Grünwald–Letnikov Scheme

Mathematics | Vol. 13 | Issue 24 | 2025

DOI: https://doi.org/10.3390/math13243925

COMMON FIXED POINT RESULTS IN COMPLETE NMS BY UTILIZING GERAGHTY FUNCTIONS

Nonlinear Functional Analysis and Applications | 2025

DOI: https://doi.org/10.22771/nfaa.2025.30.03.11

Chaos and Bifurcations in the Dynamics of the Variable-Order Fractional Rössler System

Mathematics | Vol. 22 | Issue 13 | 2025

DOI: https://doi.org/10.3390/math13223695

Chaos and Dynamic Behavior of the 4D Hyperchaotic Chen System via Variable-Order Fractional Derivatives

Mathematics | Vol. 13 | Issue 20 | 2025

DOI: https://doi.org/10.3390/math13203240

COMMON FIXED POINT RESULTS IN COMPLETE NMS BY UTILIZING GERAGHTY FUNCTIONS

Nonlinear Functional Analysis and Applications | Vol. 30 | Issue 3 | 2025

DOI: https://doi.org/10.22771/nfaa.2025.30.03.11

Fractional dual phase-lag Model for Vibration analysis of a generalized nonlocal thermoelastic microbeam based on a Pasternak foundation

International Journal of Thermofluids | Vol. 28 | Issue July 2025, 101314 | 2025

DOI: https://doi.org/10.1016/j.ijft.2025.101314

Fractional dual phase-lag Model for Vibration analysis of a generalized nonlocal thermoelastic microbeam based on a Pasternak foundation

International Journal of Thermofluids | Vol. 28 | Issue 101314 | 2025

DOI: https://doi.org/10.1016/j.ijft.2025.101314

Fractional dual phase-lag Model for Vibration analysis of a generalized nonlocal thermoelastic microbeam based on a Pasternak foundation

International Journal of Thermofluids | Vol. 28 | 2025

DOI: https://doi.org/10.1016/j.ijft.2025.101314

Viscoelastic Pasternak foundation analysis of a thermoelastic microbeam using Moore–Gibson–Thompson heat conduction under Klein–Gordon (KG) nonlocality

AIMS Mathematics | Vol. 10 | Issue 5 | 2025

DOI: https://doi.org/10.3934/math.2025471

Efficient Numerical Techniques for Investigating Chaotic Behavior in the Fractional-Order Inverted Rössler System

Symmetry | 2025

DOI: https://doi.org/10.3390/sym17030451

Efficient Numerical Techniques for Investigating Chaotic Behavior in the Fractional-Order Inverted Rössler System

Symmetry | Vol. 17 | Issue 3 | 2025

DOI: https://doi.org/10.3390/sym17030451

Applications of Elzaki transform to non-conformable fractional derivatives

AIMS Mathematics | Vol. 10 | Issue 3 | 2025

DOI: https://doi.org/10.3934/math.2025243

Applications of conformable double Sumudu-Elzaki transform

AIMS Mathematics | Vol. 10 | Issue 3 | 2025

DOI: https://doi.org/10.3934/math.2025222

Analytical solution of partial differential equations by using a new double fuzzy integral transform

AIP Publishing | Vol. 3264 | Issue 1 | 2025

DOI: https://doi.org/10.1063/5.0258446

Three Step Hybrid Block Method with Two Generalized Off-step Points for Directly Solving Third Order Ordinary Differential Equations

International Journal of Analysis and Application | Vol. 23 | Issue 58 | 2025

DOI: https://doi.org/10.28924/2291-8639-23-2025-58

Three Step Hybrid Block Method with Two Generalized O -step Points for Directly Solving Third Order Ordinary Di erential Equations

International Journal of Analysis and Applications | Vol. -23 | Issue (2025), 23:58 | 2025

DOI: https://doi.org/10.28924/2291-8639-23-2025-58

Three Step Hybrid Block Method with Two Generalized Off-step Points for Directly Solving Third Order Ordinary Differential Equation

International Journal of Analysis and Application | Vol. 23 | Issue 2291-8639 | 2025

DOI: https://doi.org/10.28924/2291-8639-23-2025-58

Three Step Hybrid Block Method with Two Generalized Off-step Points for Directly Solving Third Order Ordinary Differential Equations

International journal of analysis and Application | 2025

DOI: https://doi.org/10.28924/2291-8639-23-2025-58

Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation

International Journal of Neutrosophic Science | Vol. 27 | Issue 1 | 2025

DOI: https://doi.org/10.54216/IJNS.260123

Stability analysis and numerical simulations of a discrete-time epidemic model

Partial Differential Equations in Applied Mathematics | Vol. 13 | Issue 101118 | 2025

DOI: https://doi.org/10.1016/j.padiff.2025.101118

Numerical Simulation and Solutions for the Fractional Chen System via Newly Proposed Methods

Fractal and Fractional | Vol. 8 | Issue 12 | 2024

DOI: https://doi.org/10.3390/fractalfract8120709

Numerical investigation of surface and volume thermal imaging of nickel-graphene foam sheets by finite element method

Results in Engineering | Vol. 24 | Issue 8 | 2024

DOI: https://doi.org/10.1016/j.rineng.2024.103006

Modified Integral Transform for Solving Benney-Luke and Singular Pseudo-Hyperbolic Equations

Acta Mechanica et Automatica | Vol. 18 | Issue 1 | 2024

DOI: https://doi.org/10.2478/ama-2024-0018

Effective methods for numerical analysis of the simplest chaotic circuit model with Atangana-Baleanu Caputo fractional derivative

Journal of Engineering Mathematics | Vol. 144 | Issue 1 | 2024

DOI: https://doi.org/10.1007/s10665-023-10319-x

Adapting partial differential equations via the modified double ARA-Sumudu decomposition method

Partial Differential Equations in Applied Mathematics | Vol. 8 | 2023

DOI: https://doi.org/10.1016/j.padiff.2023.100539

Solution of Lane Emden–Fowler equations by Taylor series method

Journal of Umm Al-Qura University for Applied Sciences | Vol. 10 | Issue 1 | 2023

DOI: https://doi.org/10.1007/s43994-023-00100-2

Solving Partial Differential Equations of Fractional Order by Using a Novel Double Integral Transform

Mathematical Problems in Engineering | Vol. 2023 | Issue 1 | 2023

DOI: https://doi.org/10.1155/2023/9971083

Solving Partial Differential Equations of Fractional Order by Using a Novel Double Integral Transform

Mathematical Problems in Engineering | Vol. 2023 | Issue 1 | 2023

DOI: https://doi.org/10.1155/2023/9971083

A Comparative Numerical Study of the Symmetry Chaotic Jerk System with a Hyperbolic Sine Function via Two Different Methods

Symmetry | Vol. 15 | Issue 11 | 2023

DOI: https://doi.org/10.3390/sym15111991

An approximate solution of a time fractional Burgers' equation involving the Caputo-Katugampola fractional derivative

Partial Differential Equations in Applied Mathematics | Vol. 8 | Issue 3 | 2023

DOI: https://doi.org/10.1016/j.padiff.2023.100560

A Numerical Solution and Comparative Study of the Symmetric Rossler Attractor with the Generalized Caputo Fractional Derivative via Two Different Methods

Mathematics | Vol. 11 | Issue 13 | 2023

DOI: https://doi.org/10.3390/math11132997

CONVERGENCE AND APPLICATION OF A MODIFIED DOUBLE LAPLACE TRANSFORM (MDLT) IN SOME EQUATIONS OF MATHEMATICAL PHYSICS

Advances in Differential Equations and Control Processes | Vol. 30 | Issue 2 | 2023

DOI: https://doi.org/10.17654/0974324323010

Numerical Solutions of Time-Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method

Journal of Mathematics | Vol. 2023 | Issue 1 | 2023

DOI: https://doi.org/10.1155/2023/4664866

Numerical Solutions of Time-Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method

Journal of Mathematics | Vol. 2023 | Issue 1 | 2023

DOI: https://doi.org/10.1155/2023/4664866

Numerical Solutions of Time-Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method

Journal of Mathematics | Vol. 2023 | Issue 4664866 | 2023

DOI: https://doi.org/10.1155/2023/4664866

Numerical Solutions of Time-Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method

Journal of Mathematics | Vol. 2023 | Issue 2023 | 2023

DOI: https://doi.org/10.1155/2023/4664866

A ROTATING OSCILLATING STREAMING FLUID JET'S STABILITY UNDER SELF-GRAVITATING FORCE

International Journal Of Latest Technology In Engineering & Management (IJLTEM) | Vol. -8 | Issue 1 | 2023

DOI: https://doi.org/10.28924/2291-8639-23-2025-58

Modified conformable double Laplace Sumudu approach with applications

Heliyon | Vol. 9 | Issue 5 | 2023

DOI: https://doi.org/10.1016/j.heliyon.2023.e15891

Initial Value Problems with Generalized Fractional Derivatives and Their Solutions via Generalized Laplace Decomposition Method

Advances in Mathematical Physics | Vol. 2022 | Issue 2 | 2022

DOI: https://doi.org/10.1155/2022/3586802

On the Schwarz Method for the Eddy Currents Model

Computers and Mathematics with Applications | 2022

DOI: https://doi.org/10.1016/j.camwa.2022.02.018

Fractional partial differential equations and novel double integral transform

Journal of King Saud University - Science | Vol. 34 | Issue 3 | 2022

DOI: https://doi.org/10.1016/j.jksus.2022.101832

Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform)

Ain Shams Engineering Journal | Vol. 12 | Issue 4 | 2021

DOI: https://doi.org/10.1016/j.asej.2021.02.032

Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform)

Ain Shams Engineering Journal | Vol. 12 | Issue 4 | 2021

DOI: https://doi.org/10.1016/j.asej.2021.02.032

MODIFIED RESIDUAL POWER SERIES METHOD FOR SOLVING SYSTEM OF DIFFERENTIAL ALGEBRAIC EQUATIONS

J. Math. Comput. Sci | Vol. 11 | Issue No. 6 | 2021

DOI: https://doi.org/10.28919/jmcs/6230

Solution of Integral Differenti al Equati ons by New Double Integral Tran sform (Laplace? Sumudu Transform )

Hindawi- Abstract and Applied Analysis | 2020

DOI: https://doi.org/10.1155/2020/4725150

A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method

Abstract and Applied Analysis Hindawi | Vol. 2020 | Issue 3950816 | 2020

DOI: https://doi.org/10.1155/2020/3950816

A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method

abstract and applied analysis | Vol. 2020 | 2020

DOI: https://doi.org/10.1155/2020/3950816

Shapiro and local uncertainty principles for the multivariate continuous shearlet transform

Integral Transforms and Special Functions | 2020

DOI: https://doi.org/10.1080/10652469.2020.1811703

An adaptive Cahn-Hilliard equation for enhanced edges in binary image inpainting

Journal of Algorithms & Computational Technology | 2020

DOI: https://doi.org/10.1177/1748302620941430

Evaporation of Water/Alumina Nanofluid Film by Mixed Convection Inside Heated Vertical Channel

applied sciences | Vol. 10 | Issue 7 | 2020

DOI: https://doi.org/10.3390/app10072380

A New Efficient Method for Solving Two-Dimensional Nonlinear System of Burger?s Differential Equations

abstract and applied analysis | 2020

DOI: https://doi.org/10.1155/2020/7413859

Boundedness and compactness of localization operators for Weinstein-Wigner transform

Journal of Pseudo-Differential Operators and Applications | Vol. 11 | 2020

DOI: https://doi.org/10.1007/s11868-020-00328-0

On the Comparative Study Integro - Differential Equations Using Difference Numerical Methods

Journal of King Saud University - Science | Vol. 32 | Issue 1 | 2020

DOI: https://doi.org/10.1016/j.jksus.2018.03.003

Uncertainty principles for the q -bessel fourier transform

Integral Transforms and Special Functions | 2019

DOI: https://doi.org/10.1080/10652469.2019.1636374

Uncertainty Principles For The Continuous Quaternion Shearlet Transform

Advances in Applied Clifford Algebras | 2019

DOI: https://doi.org/10.1007/s00006-019-0961-4

Uncertainty principles for the multivariate continuous shearlet transform

Journal of Pseudo-Differential Operators and Applications | 2019

DOI: https://doi.org/10.1007/s11868-020-00328-0

Uniting two local output controllers for linear system subject to input saturation: LMI approach

Journal of the Franklin Institute | Vol. 355 | Issue 15 | 2018

DOI: https://doi.org/10.1016/j.jfranklin.2018.08.001

Discontinuous Galerkin method coupled with an integral representation for solving the three-dimensional time-harmonic Maxwell equations

Applied Acoustics | Vol. 108 | 2016

DOI: https://doi.org/10.1016/j.apacoust.2015.08.004