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Fractal calculus of variations for problems with constraints

Modern Physics Letters A
2025-03-14 | Journal article
Contributors: Alireza Khalili Golmankhaneh; Carlo Cattani; Roman Pasechnik; Shigeru Furuichi; Palle E. T. Jorgensen
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Crossref

Fractal Hankel Transform

Fractal and Fractional
2025-02-20 | Journal article
Contributors: Alireza Khalili Golmankhaneh; Hamdullah Şevli; Carlo Cattani; Zoran Vidović
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Operational Calculus of the Quantum Statistical Fermi–Dirac and Bose–Einstein Functions Leading to the Novel Fractional Kinetic Equations

Fractal and Fractional
2024-12-19 | Journal article
Contributors: Asifa Tassaddiq; Carlo Cattani; Rabab Alharbi; Ruhaila Md Kasmani; Sania Qureshi
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Guest Editorial of the Special Issue — Multiresolution Analytics for Chaotic and Fractal Data

Fluctuation and Noise Letters
2024-10 | Journal article
Contributors: Hana Rabbouch; Carlo Cattani
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On the Application of Mann-Iterative Scheme with h-Convexity in the Generation of Fractals

Fractal and Fractional
2024-07-15 | Journal article
Contributors: Asifa Tassaddiq; Muhammad Tanveer; Muhammad Zubair; Muhammad Arshad; Carlo Cattani
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A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations

Mathematical Methods in the Applied Sciences
2024-04 | Journal article
Contributors: M. H. Heydari; Sh. Zhagharian; C. Cattani
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Crossref

Extraction of the gravitational potential and high‐frequency wave perturbation properties of nonlinear (3 + 1)‐dimensional Vakhnenko–Parkes equation via novel approach

Mathematical Methods in the Applied Sciences
2024-03-30 | Journal article
Contributors: Li Yan; Haci Mehmet Baskonus; Carlo Cattani; Wei Gao
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Crossref

PREFACE — SPECIAL ISSUE ON FRACTALS AND LOCAL FRACTIONAL CALCULUS: RECENT ADVANCES AND FUTURE CHALLENGES

Fractals
2024-01 | Journal article
Contributors: XIAO-JUN YANG; DUMITRU BALEANU; J. A. TENREIRO MACHADO; CARLO CATTANI
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Solving Fractional Gas Dynamics Equation Using Müntz–Legendre Polynomials

Symmetry
2023-11-16 | Journal article
Contributors: Haifa Bin Jebreen; Carlo Cattani
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Some Relations on the rRs(P,Q,z) Matrix Function

Axioms
2023-08-25 | Journal article
Contributors: Ayman Shehata; Ghazi S. Khammash; Carlo Cattani
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An Efficient Approach to Solving the Fractional SIR Epidemic Model with the Atangana–Baleanu–Caputo Fractional Operator

Fractal and Fractional
2023-08-11 | Journal article
Contributors: Lakhdar Riabi; Mountassir Hamdi Cherif; Carlo Cattani
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Approximating solutions to fractional-order Bagley-Torvik equation via generalized Bessel polynomial on large domains

Ricerche di Matematica
2023-06 | Journal article
Contributors: Mohammad Izadi; Şuayip Yüzbaşı; Carlo Cattani
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Haar wavelet transform and variational iteration method for fractional option pricing models

Mathematical Methods in the Applied Sciences
2023-05-15 | Journal article
Contributors: Liu Meng; Meng Kexin; Xing Ruyi; Shuli Mei; Carlo Cattani
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Crossref

Multi-Fractal Weibull Adaptive Model for the Remaining Useful Life Prediction of Electric Vehicle Lithium Batteries

Entropy
2023-04-12 | Journal article
Contributors: Wujin Deng; Yan Gao; Jianxue Chen; Aleksey Kudreyko; Carlo Cattani; Enrico Zio; Wanqing Song
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Mathematical Models for Assessment the Thermal Radiation of a Fireball During Bleve

2022 | Book chapter
Contributors: Alexey Elizaryev; Elina Nasyrova; Carlo Cattani; Denis Tarakanov; Dmitrii Tarakanov; Ilmir Khasanov
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A New X-ray Medical-Image-Enhancement Method Based on Multiscale Shannon–Cosine Wavelet

Entropy
2022-11-30 | Journal article
Contributors: Meng Liu; Shuli Mei; Pengfei Liu; Yusif Gasimov; Carlo Cattani
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Interpolating Scaling Functions Tau Method for Solving Space–Time Fractional Partial Differential Equations

Symmetry
2022-11-21 | Journal article
Contributors: Haifa Bin Jebreen; Carlo Cattani
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grade
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Solving Time-Fractional Partial Differential Equation Using Chebyshev Cardinal Functions

Axioms
2022-11-14 | Journal article
Contributors: Haifa Bin Jebreen; Carlo Cattani
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grade
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The Language Conceptual Formation to Inspire Intelligent Systems

Sci
2022-11-08 | Journal article
Contributors: Dioneia Monte-Serrat; Carlo Cattani
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grade
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The Effect of Linear Operators in Periodical Solutions of Ordinary Differential Equations

Symmetry
2022-08-10 | Journal article
Contributors: Samaneh Soradi-Zeid; Mehdi Mesrizadeh; Carlo Cattani
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An Existence Study for a Multiplied System with p-Laplacian Involving φ-Hilfer Derivatives

Fractal and Fractional
2022-06-12 | Journal article
Contributors: Hamid Beddani; Moustafa Beddani; Carlo Cattani; Mountassir Hamdi Cherif
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grade
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Fractional Hypergeometric Functions

Symmetry
2022-04 | Journal article | Author
Contributors: S Jain; Carlo Cattani; P. Agarwal
Source: check_circle
Multidisciplinary Digital Publishing Institute
grade
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The Mittag-Leffler Function for Re-Evaluating the Chlorine Transport Model: Comparative Analysis

Fractal and Fractional
2022-02-22 | Journal article
Contributors: Abdulrahman F. Aljohani; Abdelhalim Ebaid; Ebrahem A. Algehyne; Yussri M. Mahrous; Carlo Cattani; Hind K. Al-Jeaid
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Modified Predictor–Corrector Method for the Numerical Solution of a Fractional-Order SIR Model with 2019-nCoV

Fractal and Fractional
2022-02-06 | Journal article
Contributors: Wei Gao; Pundikala Veeresha; Carlo Cattani; Chandrali Baishya; Haci Mehmet Baskonus
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grade
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Some New Results on Bicomplex Bernstein Polynomials

Mathematics
2021-10-29 | Journal article
Contributors: Carlo Cattani; Çíğdem Atakut; Özge Özalp Güller; Seda Karateke
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grade
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Some Unified Integrals for Generalized Mittag-Leffler Functions

Axioms
2021-10-19 | Journal article
Contributors: Prakash Singh; Shilpi Jain; Carlo Cattani
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grade
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Numerical Solutions of Fractional Differential Equations by Using Laplace Transformation Method and Quadrature Rule

Fractal and Fractional
2021-09-07 | Journal article
Contributors: Samaneh Soradi-Zeid; Mehdi Mesrizadeh; Carlo Cattani
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Clifford Wavelet Entropy for Fetal ECG Extraction

Entropy
2021-06-30 | Journal article
Contributors: Malika Jallouli; Sabrine Arfaoui; Anouar Ben Mabrouk; Carlo Cattani
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Radial basis solutions of second‐order quasi‐linear hyperbolic boundary value problem

Numerical Methods for Partial Differential Equations
2021-05 | Journal article
Contributors: Samaneh Soradi‐Zeid; Mehdi Mesrizadeh; Carlo Cattani
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Crossref

Fat Tail in the Phytoplankton Movement Patterns and Swimming Behavior: New Insights into the Prey-Predator Interactions

Fractal and Fractional
2021-05-25 | Journal article
Contributors: Xi Xiao; Caicai Xu; Yan Yu; Junyu He; Ming Li; Carlo Cattani
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Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions

Fractal and Fractional
2021-02-05 | Journal article
Contributors: Misir J. Mardanov; Yagub A. Sharifov; Yusif S. Gasimov; Carlo Cattani
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An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations

Numerical Methods for Partial Differential Equations
2021-01 | Journal article
Contributors: Afshin Babaei; Seddigheh Banihashemi; Carlo Cattani
Source: check_circle
Crossref

Optimization of ATP System Based on Quantum Secure Communication and Its Tracking Control Strategy

Shock and Vibration
2021-01 | Journal article
Contributors: Jin Liu; Fan Zhang; Carlo Cattani; Haima Yang; Song Wanqing; Chengwei Fei
Source: check_circle
Crossref

Discrete Chebyshev polynomials for nonsingular variable‐order fractional KdV Burgers' equation

Mathematical Methods in the Applied Sciences
2021-01-30 | Journal article
Contributors: Mohammad Hossein Heydari; Zakieh Avazzadeh; Carlo Cattani
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Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model

Chaos, Solitons & Fractals
2020-10 | Journal article
Contributors: Khalid K. Ali; Carlo Cattani; J.F. Gómez-Aguilar; Dumitru Baleanu; M.S. Osman
Source: check_circle
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On fractional predator and prey models with mutualistic predation including non-local and nonsingular kernels

Chaos, Solitons & Fractals
2020-07 | Journal article
Contributors: Behzad Ghanbari; Carlo Cattani
Source: check_circle
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Generalized Bessel Polynomial for Multi-Order Fractional Differential Equations

Symmetry
2020-07-30 | Journal article
Contributors: Mohammad Izadi; Carlo Cattani
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grade
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Chaotic behaviour of fractional predator-prey dynamical system

Chaos, Solitons & Fractals
2020-06 | Journal article
Contributors: Sunil Kumar; Ranbir Kumar; Carlo Cattani; Bessem Samet
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Legendre spectral method for the fractional Bratu problem

Mathematical Methods in the Applied Sciences
2020-06 | Journal article
Contributors: Harendra Singh; Fahimeh Akhavan Ghassabzadeh; Emran Tohidi; Carlo Cattani
Source: check_circle
Crossref

Fractional Levy Stable and Maximum Lyapunov Exponent for Wind Speed Prediction

Symmetry
2020-04-11 | Journal article
Contributors: Shouwu Duan; Wanqing Song; Carlo Cattani; Yakufu Yasen; He Liu
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Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry

Axioms
2020-02-13 | Journal article
Contributors: Carlo Cattani
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A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force

Mathematical Methods in the Applied Sciences
2020-01-14 | Journal article
Contributors: Sunil Kumar; Kottakkaran Sooppy Nisar; Ranbir Kumar; Carlo Cattani; Bessem Samet
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Qualitative Analysis on the Academic Work

Educação & Realidade
2019 | Journal article
Contributors: Fethi Bin Muhammad Belgacem; Dionéia Motta Monte-Serrat; Carlo Cattani; Daniela Monte-Serrat Cabella
Source: check_circle
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A Shearlets-Based Method for Rain Removal from Single Images

Applied Sciences
2019-11-27 | Journal article
Contributors: Guomin Sun; Jinsong Leng; Carlo Cattani
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grade
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An Efficient Class of Weighted-Newton Multiple Root Solvers with Seventh Order Convergence

Symmetry
2019-08-16 | Journal article
Contributors: Janak Raj Sharma; Deepak Kumar; Carlo Cattani
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Legendre wavelets for fractional partial integro-differential viscoelastic equations with weakly singular kernels⋆

The European Physical Journal Plus
2019-07 | Journal article
Contributors: Z. Avazzadeh; M. H. Heydari; C. Cattani
Source: check_circle
Crossref

Fundamental solutions of anomalous diffusion equations with the decay exponential kernel

Mathematical Methods in the Applied Sciences
2019-07-30 | Journal article
Contributors: Xiao‐Jun Yang; Yi‐Ying Feng; Carlo Cattani; Mustafa Inc
Source: check_circle
Crossref

Fractal Logistic Equation

Fractal and Fractional
2019-07-11 | Journal article
Contributors: Alireza Khalili Golmankhaneh; Carlo Cattani
Source: check_circle
Crossref

Fractional Brownian motion: Difference iterative forecasting models

Chaos, Solitons & Fractals
2019-06 | Journal article
Contributors: Wanqing Song; Ming Li; Yuanyuan Li; Carlo Cattani; Chi-Hung Chi
Source: check_circle
Crossref

Numerical Inverse Laplace Transform for Solving a Class of Fractional Differential Equations

Symmetry
2019-04-12 | Journal article
Contributors: Dimple Rani; Vinod Mishra; Carlo Cattani
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grade
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Peer review (15 reviews for 7 publications/grants)

Review activity for Acta mechanica. (1)
Review activity for Advances in difference equations. (2)
Review activity for Engineering with computers. (6)
Review activity for Mediterranean journal of mathematics : (1)
Review activity for Optical and quantum electronics. (1)
Review activity for Rendiconti del Circolo Matematico di Palermo. (2)
Review activity for The European physical journal plus. (2)