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On the analysis of fractional calculus operators with bivariate Mittag Leffler function in the kernel
Bivariate Mittag-Leffler (ML) functions are a substantial generalization of the univariate ML functions, which are widely recognized for their...
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Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative
This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid...
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Existence and Mittag-Leffler-Ulam-Stability Results for Duffing Type Problem Involving Sequential Fractional Derivatives
In this current manuscript, we discuss the existence, uniqueness and Mittag-Leffler-Ulam stability of solutions for fractional Duffing problem...
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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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Mittag-Leffler, Supertrigonometric, and Superhyperbolic Functions
In this chapter, we introduce the theory of the Mittag-Leffler function, supertrigonometric functions, and superhyperbolic functions. The integral...
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Discussion on the Approximate Controllability of Nonlocal Fractional Derivative by Mittag-Leffler Kernel to Stochastic Differential Systems
This article is primarily targeting the approximate controllability of nonlocal Atangana–Baleanu fractional derivative by Mittag-Leffler kernel to...
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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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Generalizations of Truncated M-Fractional Derivative Associated with (p, k)-Mittag-Leffler Function with Classical Properties
In the present chapter, we have generalized the truncated M-fractional derivative. This new differential operator denoted by...
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Mittag-Leffler and Wright Functions
The exponential function \(e^z\) plays an...
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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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Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks
In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation...
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Numerical evaluation of Mittag-Leffler functions
The Mittag-Leffler function is computed via a quadrature approximation of a contour integral representation. We compare results for parabolic and...
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Mittag-Leffler stability and synchronization for FOQVFNNs including proportional delay and Caputo derivative via fractional differential inequality approach
This article discusses the dynamics of Caputo fractional-order quaternion-valued fuzzy neural networks (FOQVFNNs) including proportional delay and...
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Global Mittag-Leffler Synchronization of Coupled Delayed Fractional Reaction-Diffusion Cohen-Grossberg Neural Networks via Sliding Mode Control
This chapter studies the sliding mode control method for coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks on a directed...
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A new generalization of Mittag-Leffler function via q-calculus
The present paper deals with a new different generalization of the Mittag-Leffler function through q -calculus. We then investigate its remarkable...
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Harmonic Hermite–Hadamard Inequalities Involving Mittag-Leffler Function
The main objective of this paper is to establish some new refinements of Hermite–Hadamard like inequalities via harmonic convex functions on the...
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Self-Similar Cauchy Problems and Generalized Mittag-Leffler Functions
By observing that the fractional Caputo derivative of order α ∈ (0, 1) can be expressed in terms of a multiplicative convolution operator, we...