Vol. 43 Núm. 1 (2025): Special Issue on Advanced Computational Methods for Fractional Calculus | Boletim da Sociedade Paranaense de Matemática

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

Muhammad Arshad, Samia Bushnaq, Hassan Khan, Qasim Khan, Evren HINCAL

1-12
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Surpassing taylor method: the generalized taylor method for solving initial value problems

Mohammed Alomari, Iqbal Batiha, Shaher Momani, Praveen Agarwal, Mohammad Odeh

1-13
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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
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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
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An efficient error analysis solutions of fractional pseudo-parabolic partial differential equations via the Dufort-Frankel method

jargess Abdulla, Raveen Fawzi Taher

1-6
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Existence and stability analysis of fractional-order SVEIR epidemic models with generalized incidence

Yassine Babrhou, Prof. Ali El Mfadel, Brahim El Boukari

1-13
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Certain fractional integral with generalized Mittag-Leffler-type function of arbitrary order

Maged Bin-Saad, Jihad Younis, Ghazi S. Khammash

1-12
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Generalized Mittag-Leffler-type function of arbitrary order and its properties related to integral transforms and fractional calculus

Jihad Younis

1-16
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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
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Fractional variational calculus with the truncated M-series fractional derivative

El Hassan El Kinani, Brahim El Ansari, Abdelaziz Ouhadan

1-11
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A hybrid chaos: a novel 3D strange attractor in a coupled Tinkerbell-Duffing-Jerk system with external forcing

Wafaa Hadi

1-7
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On the nonlinear quadratically perturbed fractional differential systems via complex order derivative

Samira Zerbib, Khalid Hilal, Ahmed Kajouni

1-9
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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
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A fractional calculus model for worm propagation in computer network

Mohd Khalid, Anjali Sang, Jyoti Mishra, Vijay Kumar Gupta, Ali Akgül

1-11
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Relative controllability of the nonlinear fractional dynamical systems with multiple delays in control

Mustafa Aydin

1-11
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Advanced Computational Methods for Fractional Calculus

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

Amina Boukhatem

1-12
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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
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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
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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
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Dynamics of the nonlinear systems in the frame of the Caputo-Fabrizio fractional derivative

Ashok Kumar Badsara, Shilpi Jain, PRAVEEN AGARWAL, Virendra Singh Chouhan
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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
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On optimal control for cooperative system governed by heat equation with conjugation conditions

Lamia M. Abd-Elrhman, A. A. Alsaban

1-14
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Generalized S-function and its application to statistical distribution

DHEERANDRA SHANKER SACHAN, Clemente Cesarano

1-20
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Comparative numerical study of the second-order boundary value problems

A.H. Hamza, Y. Massoun, Clemente Cesarano, PRAVEEN AGARWAL

1-8
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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
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Study of some unified integrals associated with extended k-generalized Mittag-Leffler function

Anu Arora, S. Jain, Randhir Singh Baghel

1-7
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Modified Results by Using New Generalized Definition of Fractional Derivative without Singular Kernel by applying new generalized five parameter Mittag-Leffler function Modified Results by Using New Generalized Definition of Fractional Derivative

Manoj Sharma, Shilpi Jain, Muhammed I. Syam, Praveen Agarwal

1-7
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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
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Some non-trivial trigonometric identities from theta Functions

Shruthi C. Bhat

1-8
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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
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A New Conformal Fractional Integrals and Derivatives

methaq geem

1-5
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A Wavelet-Based Symbolic Method for Time–Space Fractional Advection Equations with Caputo Derivatives

Mutaz Mohammad, Mohyeedden Sweidan, Mohyeedden Sweidan, Alexander Trounev, Praveen Agarwal

1-13
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A novel method for solving fractional order delay integro-differential equations via optimal auxiliary function method

Farah Qais Saadi, Osama H. Mohammed

1-7
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Existence and uniqueness of solutions for loaded mixed-type equation with fractional integral operators Existence and uniqueness of solutions for loaded mixed-type equation with fractional integral operators

PRAVEEN AGARWAL, Umida Baltaeva, Florence Hubert, Yulduz Babajanova, Hamrobek Hayitbayev
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Securing Images with Chaotic Map and Matrix Based Encryption

SHALINI GUPTA SHALU, Kritika Gupta kritika, Nitish Nitish, Praveen Agarwal Praveen, Shilpi Jain Shilpi

1-33
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A Reverse topology and translated topology of semi-linear topological spaces Reverse topology and translated topology

Gabriela Apreutesei

1-14
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Study of Fractional Caputo Derivatives Operator by Symmetric kernel Study of Fractional Caputo Derivatives Operator by Symmetric kernel

Harshal Gharat, Prof. Bharti V. Nathwani, Praveen Agarwal

1-9
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Certain properties of Mathieu-type series associated with hypergeometric functions Mathieu-type series associated with extended hypergeometric functions

Harshal Gharat, Prof. Bharti V. Nathwani, Praveen Agarwal

1-8
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