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Analytical and data-driven fractional-order malaria transmission model with vector and non-vector pathways. [PDF]
BMC Infect DisAhman QO +4 more
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New computations of the fractional worms transmission model in wireless sensor network in view of new integral transform with statistical analysis; an analysis of information and communication technologies. [PDF]
HeliyonRashid S +3 more
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Exponential Asymptotics of the Mittag—Leffler Function
Constructive Approximation, 2002The authors give a very detailed analysis of asymptotic behaviour (near infinity) of the Mittag-Leffler function \(E_{\alpha,\beta}\), thereby putting special emphasis on possible occurrence of exponentially small additional terms after the algebraically decaying terms.
Wong, R., Zhao, Yu-Qiu
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Geometry, Integrability and Quantization, 2021
Star product for functions of one variable is given. A deformation of the Mittag-Leffler functions is suggested by means of the star product.
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Star product for functions of one variable is given. A deformation of the Mittag-Leffler functions is suggested by means of the star product.
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2012
The classical Mittag–Leffler function plays an important role in fractional differential equations. In this chapter we mention in brief the q-analogues of the Mittag–Leffler functions defined by mathematicians. We pay attention to a pair of q-analogues of the Mittag–Leffler function that may be considered as a generalization of the q-exponential ...
Mahmoud H. Annaby, Zeinab S. Mansour
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The classical Mittag–Leffler function plays an important role in fractional differential equations. In this chapter we mention in brief the q-analogues of the Mittag–Leffler functions defined by mathematicians. We pay attention to a pair of q-analogues of the Mittag–Leffler function that may be considered as a generalization of the q-exponential ...
Mahmoud H. Annaby, Zeinab S. Mansour
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Certain Integrals Involving Generalized Mittag-Leffler Functions
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, P., Chand, M., Jain, Shilpi
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Mittag-Leffler and Wright Functions
2021The exponential function \(e^z\) plays an extremely important role in the theory of integer-order differential equations. For fdes, its role is subsumed by the Mittag-Leffler and Wright functions. In this chapter, we discuss their basic analytic properties and numerical computation.
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2019
In the previous chapter, we presented the classic hypergeometric functions that constitute the functions associated with the integer order calculus, in particular, a generalization of the factorial concept by the gamma function. In a similar way, we can understand why fractional calculus is an important tool for refining the description of many natural
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In the previous chapter, we presented the classic hypergeometric functions that constitute the functions associated with the integer order calculus, in particular, a generalization of the factorial concept by the gamma function. In a similar way, we can understand why fractional calculus is an important tool for refining the description of many natural
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The Classical Mittag-Leffler Function
2014In this chapter we present the basic properties of the classical Mittag-Leffler function E α (z) (see (1.0.1)). The material can be formally divided into two parts.
Rudolf Gorenflo +3 more
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