Search Results - "Golmankhaneh, Alireza Khalili"

Dynamics in fractal spaces by Megías, Eugenio, Khalili Golmankhaneh, Alireza, Deppman, Airton

“…This study investigates the interconnections between the traditional Fokker-Planck Equation (FPE) and its fractal counterpart (FFPE), utilizing fractal…”
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From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation by Deppman, Airton, Khalili Golmankhaneh, Alireza, Megías, Eugenio, Pasechnik, Roman

“…In this work, we study the formal connections between the non-linear Fokker-Planck Equation associated with the non-additive entropy and the Boltzmann Equation…”
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Laplace equations on the fractal cubes and Casimir effect by Khalili Golmankhaneh, Alireza, Nia, Safa Measoomy

“…In this paper, we have generalized fractal calculus on fractal Cantor cubes. The mass function on fractal Cantor cubes is defined. Then, we use the mass…”
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On stability of a class of second alpha-order fractal differential equations by Tunç, Cemil, Khalili Golmankhaneh, Alireza

“…In this paper, we give a review of fractal calculus which is an expansion of standard calculus. Fractal calculus is applied for functions that are not…”
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Fractal Logistic Equation by Khalili Golmankhaneh, Alireza, Cattani, Carlo

“…In this paper, we give difference equations on fractal sets and their corresponding fractal differential equations. An analogue of the classical Euler method…”
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Fractal calculus on fractal interpolation functions by Gowrisankar, Arulprakash, Khalili Golmankhaneh, Alireza, Serpa, Cristina

“…In this paper, fractal calculus, which is called F α -calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass…”
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Random Variables and Stable Distributions on Fractal Cantor Sets by Khalili Golmankhaneh, Alireza, Fernandez, Arran

“…In this paper, we introduce the concept of fractal random variables and their related distribution functions and statistical properties. Fractal calculus is a…”
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Hyers–Ulam stability on local fractal calculus and radioactive decay by Khalili Golmankhaneh, Alireza, Tunç, Cemil, Şevli, Hamdullah

“…In this paper, we summarize the local fractal calculus, called F α -calculus, which defines derivatives and integrals of functions with fractal domains of…”
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Statistical Mechanics Involving Fractal Temperature by Khalili Golmankhaneh, Alireza

“…In this paper, the Schrödinger equation involving a fractal time derivative is solved and corresponding eigenvalues and eigenfunctions are given. A partition…”
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On the Fractal Langevin Equation by Khalili Golmankhaneh, Alireza

“…In this paper, fractal stochastic Langevin equations are suggested, providing a mathematical model for random walks on the middle- τ Cantor set. The fractal…”
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New Derivatives on the Fractal Subset of Real-Line by Khalili Golmankhaneh, Alireza, Baleanu, Dumitru

“…In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma,…”
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Diffusion on Middle-ξ Cantor Sets by Khalili Golmankhaneh, Alireza, Fernandez, Arran, Khalili Golmankhaneh, Ali, Baleanu, Dumitru

“…In this paper, we study C ζ -calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological…”
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Analogues to Lie Method and Noether’s Theorem in Fractal Calculus by Khalili Golmankhaneh, Alireza, Tunç, Cemil

“…In this manuscript, we study symmetries of fractal differential equations. We show that using symmetry properties, one of the solutions can map to another…”
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Exact solutions of some fractal differential equations by Khalili Golmankhaneh, Alireza, Bongiorno, Donatella

“…In this paper, we explore the intriguing field of fractal calculus as it pertains to fractal curves and fractal sets. Our study includes an exploration of the…”
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Analyzing the stability of fractal delay differential equations by Khalili Golmankhaneh, Alireza, Tunç, Cemil

“…In this paper, we provide a comprehensive overview of fractal calculus and investigate the stability of both linear and non-linear fractal delay differential…”
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On a new generalized local fractal derivative operator by El-Nabulsi, Rami Ahmad, Khalili Golmankhaneh, Alireza, Agarwal, Praveen

“…In this study, a new generalized local fractal derivative operator is introduced and we discuss its implications in classical systems through the Lagrangian…”
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Fractal calculus approach to diffusion on fractal combs by Khalili Golmankhaneh, Alireza, Ontiveros, Lilián Aurora Ochoa

“…In this paper, we present a generalization of diffusion on fractal combs using fractal calculus. We introduce the concept of a fractal comb and its associated…”
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On artificial neural networks approach with new cost functions by Jafarian, Ahmad, Measoomy Nia, Safa, Khalili Golmankhaneh, Alireza, Baleanu, Dumitru

“…In this manuscript, the artificial neural networks approach involving generalized sigmoid function as a cost function, and three-layered feed-forward…”
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Einstein field equations extended to fractal manifolds: A fractal perspective by Khalili Golmankhaneh, Alireza, Jørgensen, Palle E.T., Schlichtinger, Agnieszka Matylda

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Fractal Differential Equations of 2α-Order by Khalili Golmankhaneh, Alireza, Bongiorno, Donatella

“…In this research paper, we provide a concise overview of fractal calculus applied to fractal sets. We introduce and solve a 2α-order fractal differential…”
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