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Journal of Function Spaces, 2020 In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
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A New Mixed Fractional Derivative with Applications in Computational Biology
ComputationThis study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
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Novel Fractional Models Compatible with Real World Problems
Fractal and Fractional, 2019 In this paper, some real world modeling problems: vertical motion of a falling body problem in a resistant medium, and the Malthusian growth equation, are considered by the newly defined Liouville–Caputo fractional conformable derivative and the modified
Ramazan Ozarslan, Ahu Ercan, Erdal Bas
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Journal of Function Spaces, 2023 In this article, barycentric interpolation collocation method (BICM) is presented to solve the fractional linear Fredholm-Volterra integro-differential equation (FVIDE).
Jin Li, Kaiyan Zhao, Xiaoning Su
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Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations [PDF]
Mathematics and Computational SciencesThis paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform.
Jagdish Nanaware, Akshaykumar Dongardive
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Boundary Value Problems, 2023 In this paper, we present the definitions of fractional integrals and fractional derivatives of a Pettis integrable function with respect to another function.
Hussein A. H. Salem +2 more
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Analysis of JS-contractions with applications to fractional boundary value problems
Journal of Inequalities and Applications, 2023 In this article, we modify JS-contractions by weakening the conditions on the function θ, where θ : ( 0 , ∞ ) → ( 1 , ∞ ) $\theta : ( 0,\infty ) \rightarrow ( 1,\infty ) $ is a strictly increasing function.
Nayyar Mehmood +3 more
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Stability of solutions to impulsive Caputo fractional differential equations
Electronic Journal of Differential Equations, 2016 Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal +2 more
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Fractional melting process in inclined containers using (NePCM) and hybrid nanoparticles
Alexandria Engineering Journal, 2023 Using substances of high latent heat such as phase change materials is a perfect technique in the energy storage units. Additionally, examining the heat transport and melting process for these materials is beneficial for a wide variety of solar-related ...
Sameh E. Ahmed +3 more
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Researches in MathematicsIn this research paper, we have attempted to establish the definition of the fractional derivative $\psi$-Caputo, the $\psi $-fractional integral, and the $\psi$-Laplace transform in the fuzzy intuitionistic sense, along with their properties ...
K. Oufkir, H. Sadiki, M. Elomari
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