Search Results - "fractional calculus"

Refine Results
  1. 1
    Some remarks on geometry of fractional calculus

    Some remarks on geometry of fractional calculus by Saleh, Wedad, Kilicman, Adem

    Published 2015
    “…In recent years, researchers interested in the field of fractals and related subjects have also begun using the concept of fractional calculus in some of their investigations. In this paper, some interesting aspects and features of fractional connection derivatives in differential manifold were discussed. …”
    Get full text
    Get full text
  2. 2
    Kronecker operational matrices for fractional calculus and some applications

    Kronecker operational matrices for fractional calculus and some applications by Kilicman, Adem, Abdel Aziz Al Zhour, Zeyad

    Published 2007
    Get full text
    Get full text
  3. 3
    Fractional operators and their applications on spaces of analytic and univalent functions

    Fractional operators and their applications on spaces of analytic and univalent functions by Abdulnaby, Zainab Esa

    Published 2017
    Subjects: “…Fractional calculus…”
    Get full text
    Get full text
  4. 4
    Approximate solution for time fractional partial differential equations with variable coefficients

    Approximate solution for time fractional partial differential equations with variable coefficients by Alsidrani, Fahad Abdulaziz A.

    Published 2024
    Subjects: “…Fractional calculus…”
    Get full text
    Get full text
  5. 5
    Certain generalized fractional calculus formulas and integral transforms involving (p,q)-Mathieu-type series

    Certain generalized fractional calculus formulas and integral transforms involving (p,q)-Mathieu-type series by Agarwal, Ravi P., Kilicman, Adem, Parmar, Rakesh K., Rathie, Arjun Kumar

    Published 2019
    Get full text
    Get full text
  6. 6
    Non-Parametric and Parametric Estimations of Cure Fraction Using Right-and Interval-Censored Data

    Non-Parametric and Parametric Estimations of Cure Fraction Using Right-and Interval-Censored Data by Aljawdi, Bader

    Published 2011
    Subjects: “…Fractional calculus…”
    Get full text
    Get full text
  7. 7
    Operational matrix based on orthogonal polynomials and artificial neural networks methods for solving fractal-fractional differential equations

    Operational matrix based on orthogonal polynomials and artificial neural networks methods for solving fractal-fractional differential equations by Shloof, Aml Melad Asan

    Published 2024
    Subjects: Get full text
    Get full text
  8. 8
    Linear and nonlinear fractional hereditary constitutive laws of asphalt mixtures

    Linear and nonlinear fractional hereditary constitutive laws of asphalt mixtures by Di Mino, Gaetano, Airey, Gordon, Di Paola, Mario, Pinnola, Francesco Paolo, D’Angelo, Giacomo, Presti, Davide Lo

    Published 2016
    Subjects: “…Fractional calculus…”
    Get full text
  9. 9
    Extension of laplace transform to multi-dimensional fractional integro-differential equations

    Extension of laplace transform to multi-dimensional fractional integro-differential equations by Ahmood, Wasan Ajeel

    Published 2017
    “…This extension will be used to solve special types of multi-dimensional fractional calculus such as space-time partial fractional derivative. …”
    Get full text
    Get full text
  10. 10
    Residual Methods For Solving Fractional Differential Equations With Singular Kernels

    Residual Methods For Solving Fractional Differential Equations With Singular Kernels by Abuomar, Mohammed M. A.

    Published 2023
    “…For this reason, we start this study by discussing and providing several properties of fractional calculus. Comprehensive study for the theory of fractional calculus are presented. …”
    Get full text
    Get full text
  11. 11
    Arbitrary-order economic production quantity model with and without deterioration: generalized point of view

    Arbitrary-order economic production quantity model with and without deterioration: generalized point of view by Rahaman, Mostafijur, Mondal, Sankar Prasad, Shaikh, Ali Akbar, Ahmadian, Ali, Senu, Norazak, Salahshour, Soheil

    Published 2020
    “…The key objective of this paper is to study and discuss the application of fractional calculus on an arbitrary-order inventory control problem. …”
    Get full text
    Get full text
  12. 12
    Nonlinear active contour model for medical image segmentation / Norshaliza Kamaruddin

    Nonlinear active contour model for medical image segmentation / Norshaliza Kamaruddin by Norshaliza, Kamaruddin

    Published 2016
    “…With the introduction of fractional calculus, this study proposes two automatic segmentation methods which are based on nonlinear Active Contour Model (ACM) for medical image segmentation. …”
    Get full text
    Get full text
  13. 13
    A robust operational matrix of nonsingular derivative to solve fractional variable-order differential equations

    A robust operational matrix of nonsingular derivative to solve fractional variable-order differential equations by Basim, Mays, Senu, Norazak, Ibrahim, Zarina Bibi, Ahmadian, Ali, Salahshour, Soheil

    Published 2022
    “…Some numerical examples are given to display the simplicity and accuracy of the proposed technique and compare it with the predictor–corrector and mixture two-step Lagrange polynomial and the fundamental theorem of fractional calculus methods.…”
    Get full text
  14. 14
    Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag

    Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag by Xu, B., Chen, D., Zhang, H., Wang, F., Zhang, Xinguang, Wu, Yong Hong

    Published 2017
    “…The physical meaning between fractional calculus and time-lag are also discussed in nature. …”
    Get full text
  15. 15
    Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution

    Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution by Ahmadian, A., Ismail, F., Salahshour, S., Baleanu, D., Ghaemi, F.

    Published 2017
    “…We propose here a new model based on fractional calculus to deal with the Kelvin–Voigt (KV) equation and non-Newtonian fluid behavior model with fuzzy parameters. …”
    Get full text
    Get full text
  16. 16
    On the new properties of Caputo–Fabrizio operator and its application in deriving shifted Legendre operational matrix

    On the new properties of Caputo–Fabrizio operator and its application in deriving shifted Legendre operational matrix by Jian, Rong Loh, Isah, Abdulnasir, Chang, Phang, Yoke, Teng Toh

    Published 2018
    “…As far as we know, the operational matrix method has yet been derived or attempted for solving the differential equations in Caputo–Fabrizio sense, while it has been successfully used to solve fractional calculus problems involving the classical Caputo sense. …”
    Get full text
    Get full text
  17. 17
    Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials

    Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials by Jian Rong Loh, Jian Rong Loh, Chang Phang, Chang Phang, Abdulnasir Isah, Abdulnasir Isah

    Published 2023
    “…The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. …”
    Get full text
    Get full text
  18. 18
    An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative

    An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative by Basim, M., Senu, N., Ahmadian, A., Ibrahim, Z. B., Salahshour, S.

    Published 2023
    “…The suggested strategy is contrasted with the mixture of two-step Lagrange polynomials, the predictor-corrector algorithm, as well as the fractional calculus methods fundamental theorem, using numerical examples to demonstrate its accuracy and simplicity. …”
    Get full text
  19. 19
    Modified Swanson’s equation to detect the growth of glioblastomas multiforme (GBM) tumour

    Modified Swanson’s equation to detect the growth of glioblastomas multiforme (GBM) tumour by Mohd, Fashareena, Sulaiman, Hanifah, Alias, Nor Azlina

    Published 2021
    “…This study presents another alternative to investigate the GBM tumour growth using the theory of fractional calculus (FC). Q-homotopy analysis transform method (q-HATM) and Laplace Adomian decomposition method (LADM) were applied to solve the proposed model. …”
    Get full text
  20. 20
    A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer

    A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer by Admon, Mohd Rashid, Senu, Norazak, Ahmadian, Ali, Majid, Zanariah Abdul, Salahshour, Soheil

    Published 2024
    “…The recent development of knowledge in fractional calculus introduced an advanced superior operator known as fractal–fractional derivative (FFD). …”
    Get full text

Search Tools: