Mehran Ghaderi

About

Mehran Ghaderi is a dedicated mathematician with a Ph.D. in Mathematics, specializing in fractional and quantum differential equations, differential inclusions, and numerical simulations. With a strong background in both theoretical and applied mathematics, he has published extensively in high-impact journals and presented his research at international conferences. Proficient in MATLAB, Python, and data analysis tools, Mehran combines advanced computational and analytical skills to solve complex mathematical problems and extract insights from data. His research focuses on extending the applications of fractional calculus in interdisciplinary fields, with a particular interest in stability analysis, numerical simulations, and data-driven modeling.

Employment

• Azarbaijan Shahid Madani University Researcher

Education

• Azarbaijan Shahid Madani University Ph.D

Projects & Funding

Projects & funding information is unavailable.

Publications (18)

• A Theoretical and Numerical Framework of Fractional Differential Inclusions Model in Economic Dynamics with Memory and Uncertainty
  Samane Ijadi, S. M. Vaezpour, Mehran Ghaderi +2 more
  Communications in Nonlinear Science and Numerical Simulation 2026 DOI: 10.1016/j.cnsns.2026.109893
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• Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation
  Scientific Reports 2026 DOI: 10.1038/s41598-026-35530-5
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• Se-methylselenocysteine induces NRF2-ATF4 stress signaling and ferroptosis-associated remodeling in pancreatic cancer
  2026 DOI: 10.2139/ssrn.6690932
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• On an m-dimensional system of quantum inclusions by a new computational approach and heatmap
  Mehran Ghaderi, Shahram Rezapour
  Journal of Inequalities and Applications 2024 DOI: 10.1186/s13660-024-03125-1
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• A Study on a Fractional q-Integro-Differential Inclusion by Quantum Calculus with Numerical and Graphical Simulations
  Sahand Communications in Mathematical Analysis 2023 DOI: 10.22130/scma.2023.1998903.1275
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• On a coupled system of fractional $ (p, q) $-differential equation with Lipschitzian matrix in generalized metric space
  Abdelatif Boutiara, Jehad Alzabut, Mehran Ghaderi +1 more
  AIMS Mathematics 2023 DOI: 10.3934/math.2023079
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• A computational method for investigating a quantum integrodifferential inclusion with simulations and heatmaps
  Shahram Rezapour, Sabri T. M. Thabet, Imed Kédim +2 more
  AIMS Mathematics 2023 DOI: 10.3934/math.20231394
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• Quantitative and Qualitative Analysis of a Quantum Multisingular Problem by Computational Method and Heatmaps
  Reny George, Fahad Sameer Alshammari, Mehran Ghaderi +1 more
  2023 DOI: 10.22541/au.169443005.57244325/v1
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• A study on the existence of numerical and analytical solutions for fractional integrodifferential equations in Hilfer type with simulation
  Reny George, Seher Melike Aydoǧan, Fethiye Müge Sakar +2 more
  AIMS Mathematics 2023 DOI: 10.3934/math.2023541
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• On the boundedness of the solution set for the $ \psi $-Caputo fractional pantograph equation with a measure of non-compactness via simulation analysis
  Reny George, Fahad Sameer Alshammari, Mehran Ghaderi +1 more
  AIMS Mathematics 2023 DOI: 10.3934/math.20231025
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• A study on a special case of the Sturm-Liouville equation using the Mittag-Leffler function and a new type of contraction
  Zohreh Heydarpour, Maryam Naderi Parizi, Rahimeh Ghorbnian +3 more
  AIMS Mathematics 2022 DOI: 10.3934/math.20221004
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• On a coupled system of pantograph problem with three sequential fractional derivatives by using positive contraction-type inequalities
  Reny George, Mohamed Houas, Mehran Ghaderi

  +2 more

  • Shahram Rezapour
  • S.K. Elagan
  Results in Physics 2022 DOI: 10.1016/j.rinp.2022.105687
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• On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives
  Mohamed I. Abbas, Mehran Ghaderi, Shahram Rezapour +1 more
  Journal of Function Spaces 2022 DOI: 10.1155/2022/4779213
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• A Caputo discrete fractional-order thermostat model with one and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality
  Jehad Alzabut, A‎. George Maria Selvam, Raghupathi Dhineshbabu +3 more
  Journal of Inequalities and Applications 2022 DOI: 10.1186/s13660-022-02786-0
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• On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
  Zohreh Heydarpour, Javad Izadi, Reny George +2 more
  Fractal and Fractional 2022 DOI: 10.3390/fractalfract6050269
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• On the Existence and Stability of a Neutral Stochastic Fractional Differential System
  Manzoor Ahmad, Akbar Zada, Mehran Ghaderi +2 more
  Fractal and Fractional 2022 DOI: 10.3390/fractalfract6040203
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• Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions
  Mehdi Shabibi, Mohammad Esmael Samei, Mehran Ghaderi +1 more
  Advances in Difference Equations 2021 DOI: 10.1186/s13662-021-03623-2
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• Sufficient conditions for the existence of oscillatory solutions to nonlinear second order differential equations
  Abhay Kumar Sethi, Mehran Ghaderi, Shahram Rezapour +2 more
  Journal of Applied Mathematics and Computing 2021 DOI: 10.1007/s12190-021-01629-3
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