Publications (71) Francisco Martín Martínez González publications

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2026

  1. On solving the Martínez-Kaabar fractal-fractional ordinary differential equations via the fractal-fractional differential transformation method

    Journal of Applied Mathematics and Computing, Vol. 72, Núm. 1

2025

  1. Demand Management in Hybrid Locomotives Through Aggregated Models of Supercapacitors and Railway Units

    Applied Sciences (Switzerland), Vol. 15, Núm. 5

  2. Hybrid differential problems with sequential fractional derivatives: Solvability and stability analysis

    Filomat, Vol. 39, Núm. 26, pp. 9157-9168

  3. On the Martínez–Kaabar Fractal–Fractional Reduced Pukhov Differential Transformation and Its Applications

    Mathematics, Vol. 13, Núm. 3

2024

  1. A New Generalized Definition of Fractal–Fractional Derivative with Some Applications

    Mathematical and Computational Applications, Vol. 29, Núm. 3

  2. An innovative approach to approximating solutions of fractional partial differential equations

    Physica Scripta, Vol. 99, Núm. 6

  3. Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative

    Computational Methods for Differential Equations, Vol. 12, Núm. 3, pp. 454-470

  4. Martínez–Kaabar Fractal–Fractional Laplace Transformation with Applications to Integral Equations

    Symmetry, Vol. 16, Núm. 11

  5. Novel Results on Legendre Polynomials in the Sense of a Generalized Fractional Derivative

    Mathematical and Computational Applications, Vol. 29, Núm. 4

  6. On Martínez–Kaabar Fractal–Fractional Volterra Integral Equations of the Second Kind

    Fractal and Fractional, Vol. 8, Núm. 8

2023

  1. Analysis of Generalized Bessel–Maitland Function and Its Properties

    Axioms, Vol. 12, Núm. 4

  2. Existence and Mittag-Leffler-Ulam-stability results of sequential fractional hybrid pantograph equations

    Filomat, Vol. 37, Núm. 20, pp. 6891-6903

2022

  1. A Novel Theoretical Investigation of the Abu-Shady-Kaabar Fractional Derivative as a Modeling Tool for Science and Engineering

    Computational and mathematical methods in medicine, Vol. 2022, pp. 4119082

  2. A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations

    Boundary Value Problems, Vol. 2022, Núm. 1

  3. Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval

    Journal of Inequalities and Applications, Vol. 2022, Núm. 1

  4. NON-CONFORMABLE FRACTIONAL LAPLACE TRANSFORM

    Kragujevac Journal of Mathematics, Vol. 46, Núm. 3, pp. 341-354

  5. Novel results on conformable Bessel functions

    Nonlinear Engineering, Vol. 11, Núm. 1, pp. 6-12

  6. On Opial-type inequality for a generalized fractional integral operator

    Demonstratio Mathematica, Vol. 55, Núm. 1, pp. 695-709

  7. Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

    Journal of Inequalities and Applications, Vol. 2022, Núm. 1

2021

  1. A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

    Nonlinear Engineering, Vol. 10, Núm. 1, pp. 414-427