Peyman Mayeli scite author profile

In this article, a special type of fractional differential equations (FDEs) named the density-dependent conformable fractional diffusion-reaction (DDCFDR) equation is studied. Aforementioned equation has a significant role in the modelling of some phenomena arising in the applied science. The well-organized methods, including the exp ( − ϕ ( ε ) ) -expansion and modified Kudryashov methods are exerted to generate the exact solutions of this equation such that some of the solutions are new and have been reported for the first time. Results illustrate that both methods have a great performance in handling the DDCFDR equation.

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Peyman Mayeli

Modified Kudryashov method for solving the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities

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New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method

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Techno-economic feasibility of off-grid solar irrigation for a rice paddy in Guilan province in Iran: A case study

Density-Dependent Conformable Space-time Fractional Diffusion-Reaction Equation and Its Exact Solutions

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Peyman Mayeli

Modified Kudryashov method for solving the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities

Al2O3–Water nanofluid heat transfer and entropy generation in a ribbed channel with wavy wall in the presence of magnetic field

Bright and singular soliton solutions of the conformable time-fractional Klein–Gordon equations with different nonlinearities

New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method

Buoyancy-driven flows beyond the Boussinesq approximation: A brief review

Numerical investigation of the MHD forced convection and entropy generation in a straight duct with sinusoidal walls containing water–Al2O3 nanofluid

Techno-economic feasibility of off-grid solar irrigation for a rice paddy in Guilan province in Iran: A case study

Density-Dependent Conformable Space-time Fractional Diffusion-Reaction Equation and Its Exact Solutions

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Product

Resources

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Al₂O₃–Water nanofluid heat transfer and entropy generation in a ribbed channel with wavy wall in the presence of magnetic field

Numerical investigation of the MHD forced convection and entropy generation in a straight duct with sinusoidal walls containing water–Al₂O₃ nanofluid