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A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system
In this paper, a delayed discrete Mittag-Leffler matrix function generated by two noncommutative square matrices is introduced. Utilizing this...
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Queuing models with Mittag-Leffler inter-event times
We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue in a different way. Inter-event times...
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Mittag–Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations
Stochastic space-time fractional diffusion equations often appear in the modeling of the heat propagation in non-homogeneous medium. In this paper,...
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A Rational Approximation Scheme for Computing Mittag-Leffler Function with Discrete Elliptic Operator as Input
In this work, we propose a new scheme based on numerical quadrature to calculate the two-parameter Mittag-Leffler function with discrete elliptic...
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A Fractional Order Covid-19 Epidemic Model with Mittag–Leffler Kernel
We consider a nonlinear fractional-order Covid-19 model in a sense of the Atagana–Baleanu fractional derivative used for the analytic and...
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Generalized Mittag-Leffler Factorial Function with Sums
This research aims to express several functions, like trigonometric functions, Mittag-Leffler (ML) function. For that we have introduced Generalized...
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Do the Mittag–Leffler Functions Preserve the Properties of Their Matrix Arguments?
The matrix Mittag–Leffler (ML) functions are receiving great attention at the moment. As a matter of fact, in many applications, the matrix argument...
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Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems
In this paper, the discrete fractional-order Halanay inequality with distributed delays is introduced. Then, based on the generalized discrete...
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Discrete Caputo Delta Fractional Economic Cobweb Models
In this paper, we consider discrete Caputo delta fractional economic cobweb models. To be more specific, we first discuss some properties of discrete...
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Analysis of fractional differential equations with fractional derivative of generalized Mittag-Leffler kernel
In this paper, we study classes of linear and nonlinear multi-term fractional differential equations involving a fractional derivative with...
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Novel algebraic criteria on global Mittag–Leffler synchronization for FOINNs with the Caputo derivative and delay
This paper focuses on the global Mittag–Leffler (M–L) synchronization for fractional-order inertial neural networks (FOINNs) including the Caputo...
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Multidimensional van der Corput-Type Estimates Involving Mittag-Leffler Functions
The paper is devoted to study multidimensional van der Corput-type estimates for the intergrals involving Mittag-Leffler functions. The...
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Difference monotonicity analysis on discrete fractional operators with discrete generalized Mittag-Leffler kernels
In this paper, we present the monotonicity analysis for the nabla fractional differences with discrete generalized Mittag-Leffler kernels
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On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum
A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the...
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The Classical Mittag-Leffler Function
In this chapter we present the basic properties of the classical Mittag-Leffler function \(E_\alpha (z)\) (see ( 1.0.1 )). The material can be...
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A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel
This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator and prey act as...
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The Two-Parametric Mittag-Leffler Function
In this chapter we present the basic properties of the two-parametric Mittag-Leffler function \(E_{\alpha ,\beta } (z)\) (see ( 1.0.3 )), which...
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Generalized Mittag-Leffler quadrature methods for fractional differential equations
In this paper, we propose a generalized Mittag-Leffler quadrature method for solving linear fractional differential equations with a forcing term....
