Search Results - "Shah, Rasool"
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Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform
Published in AIMS mathematics (2022)“…In this paper, we find the solution of the time-fractional Newell-Whitehead-Segel equation with the help of two different methods. The newell-Whitehead-Segel…”
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The Numerical Investigation of a Fractional-Order Multi-Dimensional Model of Navier–Stokes Equation via Novel Techniques
Published in Symmetry (Basel) (01-06-2022)“…In this study, numerical results of a fractional-order multi-dimensional model of the Navier–Stokes equations will be achieved via adoption of two analytical…”
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3
Application of Laplace-Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations
Published in Entropy (Basel, Switzerland) (28-03-2019)“…In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace-Adomian…”
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4
Analytical Solutions of Fractional-Order Heat and Wave Equations by the Natural Transform Decomposition Method
Published in Entropy (Basel, Switzerland) (16-06-2019)“…In the present article, fractional-order heat and wave equations are solved by using the natural transform decomposition method. The series form solutions are…”
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5
Analytical Investigation of Noyes–Field Model for Time-Fractional Belousov–Zhabotinsky Reaction
Published in Complexity (New York, N.Y.) (2021)“…In this article, we find the solution of time-fractional Belousov–Zhabotinskii reaction by implementing two well-known analytical techniques. The proposed…”
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6
Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials
Published in Scientific reports (20-01-2024)“…This work dives into the Conformable Stochastic Kraenkel-Manna-Merle System (CSKMMS), an important mathematical model for exploring phenomena in ferromagnetic…”
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Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method
Published in Fractal and fractional (01-07-2023)“…In this investigation, we utilize advanced versions of the Extended Direct Algebraic Method (EDAM), namely the modified EDAM (mEDAM) and r+ mEDAM, to explore…”
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Investigating Symmetric Soliton Solutions for the Fractional Coupled Konno–Onno System Using Improved Versions of a Novel Analytical Technique
Published in Mathematics (Basel) (01-06-2023)“…The present research investigates symmetric soliton solutions for the Fractional Coupled Konno–Onno System (FCKOS) by using two improved versions of an…”
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9
Fractional View Analysis of Kuramoto–Sivashinsky Equations with Non-Singular Kernel Operators
Published in Symmetry (Basel) (01-07-2022)“…In this article, we investigate the nonlinear model describing the various physical and chemical phenomena named the Kuramoto–Sivashinsky equation. We…”
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10
Fractional Series Solution Construction for Nonlinear Fractional Reaction-Diffusion Brusselator Model Utilizing Laplace Residual Power Series
Published in Symmetry (Basel) (01-09-2022)“…This article investigates different nonlinear systems of fractional partial differential equations analytically using an attractive modified method known as…”
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11
Investigating Families of Soliton Solutions for the Complex Structured Coupled Fractional Biswas–Arshed Model in Birefringent Fibers Using a Novel Analytical Technique
Published in Fractal and fractional (01-07-2023)“…This research uses a novel analytical method known as the modified Extended Direct Algebraic Method (mEDAM) to explore families of soliton solutions for the…”
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12
An Analytical Approach to Solve the Fractional Benney Equation Using the q-Homotopy Analysis Transform Method
Published in Symmetry (Basel) (01-03-2023)“…This paper introduces an analytical approach for solving the Benney equation using the q-homotopy analysis transform method. The Benney equation is a nonlinear…”
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13
Approximate Analytical Methods for a Fractional-Order Nonlinear System of Jaulent–Miodek Equation with Energy-Dependent Schrödinger Potential
Published in Fractal and fractional (01-02-2023)“…In this paper, we study the numerical solution of fractional Jaulent–Miodek equations with the help of two modified methods: coupled fractional variational…”
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14
An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations
Published in Entropy (Basel, Switzerland) (21-08-2021)“…This research article is dedicated to solving fractional-order parabolic equations using an innovative analytical technique. The Adomian decomposition method…”
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15
A theoretical stability of mixed convection 3D Sutterby nanofluid flow due to bidirectional stretching surface
Published in Scientific reports (16-12-2023)“…Host (base) fluids are unable to deliver efficient heating and cooling processes in industrial applications due to their limited heat transfer rates…”
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16
Analysis of solitary wave solutions in the fractional-order Kundu–Eckhaus system
Published in Scientific reports (14-02-2024)“…The area of fractional partial differential equations has recently become prominent for its ability to accurately simulate complex physical events. The search…”
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17
Numerical Investigation of Fractional-Order Swift–Hohenberg Equations via a Novel Transform
Published in Symmetry (Basel) (01-07-2021)“…In this paper, the Elzaki transform decomposition method is implemented to solve the time-fractional Swift–Hohenberg equations. The presented model is related…”
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18
Stability of non-Newtonian nanofluid movement with heat/mass transportation passed through a hydro magnetic elongating/contracting sheet: multiple branches solutions
Published in Scientific reports (18-10-2023)“…Nanomaterials have found wide applications in many fields, leading to significant interest in the scientific world, in particular automobile thermal control,…”
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19
The analytical investigation of time-fractional multi-dimensional Navier–Stokes equation
Published in Alexandria engineering journal (01-10-2020)“…In the present research article, we implemented two well-known analytical techniques to solve fractional-order multi-dimensional Navier–Stokes equation. The…”
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20
Analytical Solutions of Fractional-Order Diffusion Equations by Natural Transform Decomposition Method
Published in Entropy (Basel, Switzerland) (03-06-2019)“…In the present article, fractional-order diffusion equations are solved using the Natural transform decomposition method. The series form solutions are…”
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