Prof Alireza Khalili Golmankhaneh

All Stories

1. 
   Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation

   Article • Communications in Theoretical Physics, March 2021, Institute of Physics Publishing

   Prof Alireza Khalili Golmankhaneh

2. 
   Fractal Stochastic Processes on Thin Cantor-Like Sets

   Article • Mathematics, March 2021, MDPI AG

   Prof Alireza Khalili Golmankhaneh

3. 
   Electrical circuits involving fractal time

   Article • Chaos An Interdisciplinary Journal of Nonlinear Science, March 2021, American Institute of Physics

   Prof Alireza Khalili Golmankhaneh

4. 
   The Nonlocal Fractal Integral Reverse Minkowski’s and Other Related Inequalities on Fractal Sets

   Article • Mathematical Problems in Engineering, February 2021, Hindawi Publishing Corporation

   Prof Alireza Khalili Golmankhaneh

5. 
   On fractional and fractal Einstein’s field equations

   Article • Modern Physics Letters A, January 2021, World Scientific Pub Co Pte Lt

   Prof Alireza Khalili Golmankhaneh

6. 
   On stability of a class of second alpha-order fractal differential equations

   Article • AIMS Mathematics, January 2020, American Institute of Mathematical Sciences (AIMS)

   Prof Alireza Khalili Golmankhaneh

7. 
   Stochastic differential equations on fractal sets

   Article • Stochastics, December 2019, Taylor & Francis

   Prof Alireza Khalili Golmankhaneh

8. 
   Fractal Logistic Equation

   Article • Fractal and Fractional, July 2019, MDPI AG

   Prof Alireza Khalili Golmankhaneh

9. 
   Random Variables and Stable Distributions on Fractal Cantor Sets

   Article • Fractal and Fractional, June 2019, MDPI AG

   Prof Alireza Khalili Golmankhaneh

10. 
    Sumudu transform in fractal calculus

    Article • Applied Mathematics and Computation, June 2019, Elsevier

    Prof Alireza Khalili Golmankhaneh

11. 
    Analogues to Lie Method and Noether’s Theorem in Fractal Calculus

    Article • Fractal and Fractional, May 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

12. 
    Statistical Mechanics Involving Fractal Temperature

    Article • Fractal and Fractional, April 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

13. 
    On the Fractal Langevin Equation

    Article • Fractal and Fractional, March 2019, MDPI AG

    Prof Alireza Khalili Golmankhaneh

14. 
    Fractal Calculus of Functions on Cantor Tartan Spaces

    Article • Fractal and Fractional, December 2018, MDPI AG

    Prof Alireza Khalili Golmankhaneh

15. 
    On artificial neural networks approach with new cost functions

    Article • Applied Mathematics and Computation, December 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

16. 
    About Kepler’s Third Law on fractal-time spaces

    Article • Ain Shams Engineering Journal, December 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

17. 
    Diffusion on Middle-ξ Cantor Sets

    Article • Entropy, July 2018, MDPI AG

    Prof Alireza Khalili Golmankhaneh

18. 
    Noteworthy fractal features and transport properties of Cantor tartans

    Article • Physics Letters A, June 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

19. 
    Sub- and super-diffusion on Cantor sets: Beyond the paradox

    Article • Physics Letters A, April 2018, Elsevier

    Prof Alireza Khalili Golmankhaneh

20. 
    PSO and NN modeling for photocatalytic removal of pollution in wastewater

    Article • October 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Prof Alireza Khalili Golmankhaneh

21. 
    Energy Straggling Function by Fα-Calculus

    Article • Journal of Computational and Nonlinear Dynamics, May 2017, ASME International

    Prof Alireza Khalili Golmankhaneh

22. 
    On the Lipschitz condition in the fractal calculus

    Article • Chaos Solitons & Fractals, February 2017, Elsevier

    Prof Alireza Khalili Golmankhaneh

23. 
    Using ANNs Approach for Solving Fractional Order Volterra Integro-differential Equations

    Article • International Journal of Computational Intelligence Systems, January 2017, Atlantis Press

    Prof Alireza Khalili Golmankhaneh

24. 
    On the calculus of parameterized fractal curves

    Article • TURKISH JOURNAL OF PHYSICS, January 2017, The Scientific and Technological Research Council of Turkey

    Prof Alireza Khalili Golmankhaneh

25. 
    Fractal calculus involving gauge function

    Article • Communications in Nonlinear Science and Numerical Simulation, August 2016, Elsevier

    Prof Alireza Khalili Golmankhaneh

26. 
    Diffraction from fractal grating Cantor sets

    Article • Journal of Modern Optics, February 2016, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

27. 
    New Derivatives on the Fractal Subset of Real-Line

    Article • Entropy, January 2016, MDPI AG

    Prof Alireza Khalili Golmankhaneh

28. 
    Non-local Integrals and Derivatives on Fractal Sets with Applications

    Article • Open Physics, January 2016, De Gruyter

    Professor Dumitru Baleanu, Prof Alireza Khalili Golmankhaneh

29. 
    Brand Dynamics: A Case Study

    Article • SSRN Electronic Journal, January 2016, Elsevier

    Prof Alireza Khalili Golmankhaneh

30. 
    Calculus on Fractals

    Article • January 2015, De Gruyter

    Prof Alireza Khalili Golmankhaneh

31. 
    quantum mechanics on fractal time-space

    Article • International Journal of Theoretical Physics, September 2014, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

32. 
    About fuzzy Schrödinger equation

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Prof Alireza Khalili Golmankhaneh

33. 
    Solving fully fuzzy polynomials using feed-back neural networks

    Article • International Journal of Computer Mathematics, May 2014, Taylor & Francis

    Prof Alireza Khalili Golmankhaneh

34. 
    On Bernstein Polynomials Method to the System of Abel Integral Equations

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh

35. 
    On Fuzzy Fractional Laplace Transformation

    Article • Advances in Mathematical Physics, January 2014, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh

36. 
    Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh

37. 
    Synchronization in a nonidentical fractional order of a proposed modified system

    Article • Journal of Vibration and Control, July 2013, SAGE Publications

    Prof Alireza Khalili Golmankhaneh

38. 
    Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line

    Article • International Journal of Theoretical Physics, July 2013, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

39. 
    Analytic Solution for a Nonlinear Problem of Magneto-Thermoelasticity

    Article • Reports on Mathematical Physics, June 2013, Elsevier

    Prof Alireza Khalili Golmankhaneh

40. 
    About Maxwell’s equations on fractal subsets of ℝ3

    Article • Open Physics, January 2013, De Gruyter

    Prof Alireza Khalili Golmankhaneh

41. 
    On a new measure on fractals

    Article • Journal of Inequalities and Applications, January 2013, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

42. 
    The Proposed Modified Liu System with Fractional Order

    Article • Advances in Mathematical Physics, January 2013, Hindawi Publishing Corporation

    Prof Alireza Khalili Golmankhaneh

43. 
    Numerical solution of linear integral equations system using the Bernstein collocation method

    Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

44. 
    On the Fractional Hamilton and Lagrange Mechanics

    Article • International Journal of Theoretical Physics, April 2012, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

45. 
    Structure of magnetic field lines

    Article • Communications in Nonlinear Science and Numerical Simulation, February 2012, Elsevier

    Prof Alireza Khalili Golmankhaneh

46. 
    Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations

    Article • Open Physics, January 2012, De Gruyter

    Prof Alireza Khalili Golmankhaneh

47. 
    On nonlinear fractional Klein–Gordon equation

    Article • Signal Processing, March 2011, Elsevier

    Prof Alireza Khalili Golmankhaneh

48. 
    The Fractional Virial Theorem

    Article • Fractional Differential Calculus, January 2011, Element d.o.o.

    Prof Alireza Khalili Golmankhaneh

49. 
    Fractional Odd-Dimensional Mechanics

    Article • Advances in Difference Equations, January 2011, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

50. 
    On electromagnetic field in fractional space

    Article • Nonlinear Analysis Real World Applications, February 2010, Elsevier

    Prof Alireza Khalili Golmankhaneh

51. 
    Fractional Newtonian mechanics

    Article • Open Physics, January 2010, De Gruyter

    Professor Dumitru Baleanu, Prof Alireza Khalili Golmankhaneh

52. 
    On Fractional Dynamics on the Extended Phase Space

    Article • Journal of Computational and Nonlinear Dynamics, January 2010, ASME International

    Prof Alireza Khalili Golmankhaneh

53. 
    Hamiltonian Structure of Fractional First Order Lagrangian

    Article • International Journal of Theoretical Physics, December 2009, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

54. 
    Relativistic scalar fields for non-conservative systems

    Article • Physica Scripta, October 2009, Institute of Physics Publishing

    Prof Alireza Khalili Golmankhaneh

55. 
    Newtonian law with memory

    Article • Nonlinear Dynamics, August 2009, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

56. 
    Fractional Electromagnetic Equations Using Fractional Forms

    Article • International Journal of Theoretical Physics, August 2009, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

57. 
    The Dual Action of Fractional Multi Time Hamilton Equations

    Article • International Journal of Theoretical Physics, May 2009, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh

58. 
    Fractional Mechanics on the Extended Phase Space

    Article • January 2009, ASME International

    Prof Alireza Khalili Golmankhaneh

59. 
    Fractional Nambu Mechanics

    Article • International Journal of Theoretical Physics, October 2008, Springer Science + Business Media

    Prof Alireza Khalili Golmankhaneh