Some exact results for the trapping of subdiffusive particles in one dimension
, 2003 We study a generalization of the standard trapping problem of random walk theory in which particles move subdiffusively on a one-dimensional lattice.
Anlauf +46 more
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Multiple (multiindex) Mittag–Leffler functions and relations to generalized fractional calculus
Journal of Computational and Applied Mathematics, 2000 The Mittag-Leffler functions were studied by Agarwal, Humbert, Dzrbashjan, and others in the 1950s, but not a lot of attention has been given to them since. The functions under consideration here are the generalizations \[ E_{(1/ \rho_i), (\mu_i)}(z)= \sum^\infty_{k=0} {z^k\over\Gamma (\mu_1+k/ \rho_1) \cdots \Gamma(\mu_m+k/ \rho_m)}, \] which are ...
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad +4 more
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Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution.
Mahmoud H. DarAssi +3 more
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Coherent states associated to the wavefunctions and the spectrum of the isotonic oscillator
, 2004 Classes of coherent states are presented by replacing the labeling parameter $z$ of Klauder-Perelomov type coherent states by confluent hypergeometric functions with specific parameters.
Ali S T +16 more
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Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions
Proceedings - Mathematical Sciences, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, Praveen +2 more
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Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad +3 more
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Subordination Pathways to Fractional Diffusion
, 2011 The uncoupled Continuous Time Random Walk (CTRW) in one space-dimension and under power law regime is splitted into three distinct random walks: (rw_1), a random walk along the line of natural time, happening in operational time; (rw_2), a random walk ...
D. Fulger +17 more
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Generalization of Some Fractional Integral Operator Inequalities for Convex Functions via Unified Mittag–Leffler Function [PDF]
, 2022 Kamsing Nonlaopon +4 more
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Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application [PDF]
Mathematics, 2019 A generalized form of the Mittag-Leffler function denoted by p E q ; δ λ , μ ; ν x is established and studied in this paper. The fractional integrals involving the newly defined function are investigated. As an application, the solutions of a generalized fractional kinetic equation containing this function are derived and the nature
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