Vol. 43 No. 1 (2025): Special Issue on Advanced Computational Methods for Fractional Calculus

Published: 2025-02-09

Research Articles

  • Mittag-Le­ffler stability for a one-dimensional fractional elastic-porous system: nonstandard frictional damping and nonstandard Kelvin-Voigt damping

    Mohammed D. Kassim
    1-14
    DOI: https://doi.org/10.5269/bspm.75198

  • A new and efficient numerical algorithm to solve fractional boundary value problems

    Muhammad Arshad, Samia Bushnaq, Hassan Khan, Qasim Khan, Evren HINCAL
    1-12
    DOI: https://doi.org/10.5269/bspm.75377

  • Surpassing taylor method: the generalized taylor method for solving initial value problems

    Mohammed Alomari, Iqbal Batiha, Shaher Momani, Praveen Agarwal, Mohammad Odeh
    1-13
    DOI: https://doi.org/10.5269/bspm.75572

  • Finite-Time Synchronization in a Novel Discrete Fractional SIR Model for COVID-19

    Iqbal Batiha, Issam Bendib, Adel Ouannas, Praveen Agarwal, Nidal Anakira, Iqbal H. Jebril, Shaher Momani
    1-15
    DOI: https://doi.org/10.5269/bspm.75295

  • Existence and uniqueness of solutions for nonlinear fractional boundary value problems with $\psi$-Caputo derivatives

    SALMA SOLHI; Essaid Anaama, Ahmed Kajouni, Khalid Hilal
    1-12
    DOI: https://doi.org/10.5269/bspm.75788

  • An efficient error analysis solutions of fractional pseudo-parabolic partial differential equations via the Dufort-Frankel method

    jargess Abdulla, Raveen Fawzi Taher
    1-6
    DOI: https://doi.org/10.5269/bspm.76345

  • Existence and stability analysis of fractional-order SVEIR epidemic models with generalized incidence

    Yassine Babrhou, Prof. Ali El Mfadel, Brahim El Boukari
    1-13
    DOI: https://doi.org/10.5269/bspm.75184

  • Certain fractional integral with generalized Mittag-Leffler-type function of arbitrary order

    Maged Bin-Saad, Jihad Younis, Ghazi S. Khammash
    1-12
    DOI: https://doi.org/10.5269/bspm.75308

  • Generalized Mittag-Leffler-type function of arbitrary order and its properties related to integral transforms and fractional calculus

    Maged Bin-Saad, Jihad Younis, Ayman Shehata, Mohamed Abd El Salam
    1-16
    DOI: https://doi.org/10.5269/bspm.75746

  • Impact of the diffusion coefficient and non-linear incidence rate on the dynamics of the SIR model

    Kuldeep Malik, Pranay Goswami, Vikash Yadav
    1-18
    DOI: https://doi.org/10.5269/bspm.75426

  • Fractional variational calculus with the truncated M-series fractional derivative

    El Hassan El Kinani, Brahim El Ansari, Abdelaziz Ouhadan
    1-11
    DOI: https://doi.org/10.5269/bspm.75750

  • A hybrid chaos: a novel 3D strange attractor in a coupled Tinkerbell-Duffing-Jerk system with external forcing

    Wafaa Hadi
    1-7
    DOI: https://doi.org/10.5269/bspm.76636

  • On the nonlinear quadratically perturbed fractional differential systems via complex order derivative

    Samira Zerbib, Khalid Hilal, Ahmed Kajouni
    1-9
    DOI: https://doi.org/10.5269/bspm.75731

  • The impact of time-fractional Cahn–Hilliard equation that arises during the process of digital picture reconstruction

    Rupa M L, Dr Aruna K, Dr Raghavendar K
    1-20
    DOI: https://doi.org/10.5269/bspm.75222

  • A fractional calculus model for worm propagation in computer network

    Mohd Khalid, Anjali Sang, Jyoti Mishra, Vijay Kumar Gupta, Ali Akgül
    1-11
    DOI: https://doi.org/10.5269/bspm.75430

  • Relative controllability of the nonlinear fractional dynamical systems with multiple delays in control

    Mustafa Aydin
    1-11
    DOI: https://doi.org/10.5269/bspm.75315

  • On the existence and uniqueness solutions for a fractional Benjamin-Ono equation for conformable fractional derivative

    Ravinder Kumar, Virendra Singh Chouhan, Praveen Agarwal, Shilpi Jain
    1-13
    DOI: https://doi.org/10.5269/bspm.76928

  • A Novel Approach using Residual Power series Method for solving nonlinear fractional partial differential equation

    Suad Mohammed Hassan, Duaa Mohammed Hamid, Methaq Hamza Geem
    1-9
    DOI: https://doi.org/10.5269/bspm.77345

  • Quantified energy decay of Euler–Bernoulli beams on an unbounded star-shaped network

    Amina Boukhatem
    1-12
    DOI: https://doi.org/10.5269/bspm.77325

  • Homogenization of a Stokes flow in porous media under a non-homogeneous slip boundary condition

    Taha Khalil Abassi, Chafia Karek, Amar Ould-Hammouda, Fares Yazid
    1-18
    DOI: https://doi.org/10.5269/bspm.77375

  • Mathematical modeling of inventory dynamics in a two-level supply chain with freshness constraints

    Ajay Kumar Balmiki, Shilpi Jain, Govind Shay Sharma, Saurabh Kumar Gupta
    1-6
    DOI: https://doi.org/10.5269/bspm.76404

  • A study on the stability and solvability of pantograph-type equations with \((k,\psi)\)-caputo proportional fractional derivative operator

    Mehdi Selmani, Chahrazed Harrat, Youcef Bouizem
    1-14
    DOI: https://doi.org/10.5269/bspm.77550

  • Dynamics of the nonlinear systems in the frame of the Caputo-Fabrizio fractional derivative

    Ashok Kumar Badsara, Shilpi Jain, PRAVEEN AGARWAL, Virendra Singh Chouhan
    DOI: https://doi.org/10.5269/bspm.76982

  • Investigation of nonlinear Riemann-Liouville fractional differential equations with fractional nonlocal multi-point and integral boundary conditions

    Bashir Ahmad, Hafed A. Saeed, Ahmed Alsaedi, Sotiris Ntouyas
    1-19
    DOI: https://doi.org/10.5269/bspm.75987

  • On optimal control for cooperative system governed by heat equation with conjugation conditions

    Lamia M. Abd-Elrhman, A. A. Alsaban
    1-14
    DOI: https://doi.org/10.5269/bspm.75745

  • Generalized S-function and its application to statistical distribution

    DHEERANDRA SHANKER SACHAN, Clemente Cesarano
    1-20
    DOI: https://doi.org/10.5269/bspm.76649

  • Comparative numerical study of the second-order boundary value problems

    A.H. Hamza, Y. Massoun, Clemente Cesarano, PRAVEEN AGARWAL
    1-8
    DOI: https://doi.org/10.5269/bspm.77938

  • Analytic study of the pine wilt disease epidemic model Analytic study of the pine wilt disease epidemic model

    Abderrzak Said, Y Massoun, C Cesarano, PRAVEEN AGARWAL
    1-9
    DOI: https://doi.org/10.5269/bspm.77984

  • Study of some unified integrals associated with extended k-generalized Mittag-Leffler function

    Anu Arora, S. Jain, Randhir Singh Baghel
    1-7
    DOI: https://doi.org/10.5269/bspm.78718

  • Modified results by using new generalized definition of fractional derivative without singular kernel by applying new generalized five parameter Mittag-Leffler function

    Manoj Sharma, Shilpi Jain, Muhammed I. Syam, Praveen Agarwal
    1-7
    DOI: https://doi.org/10.5269/bspm.77303

  • NEW GRADIENT EDGE DETECTION METHOD BASED ON CAPUTO $k$-FRACTIONAL DERIVATIVE

    Ahfouda Belhadi, Bachir Dehda, Abdelaziz Azeb Ahmed, Fares Yazid, Fatima Siham Djeradi
    1-10
    DOI: https://doi.org/10.5269/bspm.78430

  • Some non-trivial trigonometric identities from theta Functions

    Shruthi C. Bhat
    1-8
    DOI: https://doi.org/10.5269/bspm.78839

  • A Novel Numerical Treatment for Solving Fractional Order Delay Integro-Differential Algebraic Equations Using Fractional Physics-Informed Neural Networks Method

    Haitham Majid Khazeem Khazeem, Osama Hameed Mohammed
    1-13
    DOI: https://doi.org/10.5269/bspm.78713

  • A new conformal fractional integrals and derivatives

    Methaq Hamza Geem
    1-5
    DOI: https://doi.org/10.5269/bspm.77933

  • A wavelet-based symbolic method for time–space fractional advection equations with Caputo derivatives

    Mutaz Mohammad, Mohyeedden Sweidan, Alexander Trounev, Praveen Agarwal
    1-13
    DOI: https://doi.org/10.5269/bspm.78394

  • A novel method for solving fractional order delay integro-differential equations via optimal auxiliary function method

    Farah Qais Saadi, Osama H. Mohammed
    1-7
    DOI: https://doi.org/10.5269/bspm.78867

  • Existence and uniqueness of solutions for loaded mixed-type equation with fractional integral operators

    Umida Baltaeva, Florence Hubert, Yulduz Babajanova, Hamrobek Hayitbayev, Praveen Agarwal
    DOI: https://doi.org/10.5269/bspm.77675

  • Securing images with chaotic map and matrix based encryption

    Shalini Gupta, Kritika Gupta kritika, Nitish , Praveen Agarwal, Shilpi Jain
    1-33
    DOI: https://doi.org/10.5269/bspm.79257

  • A Reverse topology and translated topology of semi-linear topological spaces Reverse topology and translated topology

    Gabriela Apreutesei
    1-14
    DOI: https://doi.org/10.5269/bspm.79793

  • Study of fractional Caputo derivatives operator by symmetric kernel

    Harshal S. Gharat, B. V. Nathwani, P. Agarwal
    1-9
    DOI: https://doi.org/10.5269/bspm.78469

  • Certain properties of Mathieu-type series associated with hypergeometric functions

    Harshal S. Gharat, B. V. Nathwani, P. Agarwal
    1-8
    DOI: https://doi.org/10.5269/bspm.78468