[PDF] Top 20 A generalization of the Mittag–Leffler function and solution of system of fractional differential equations
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A generalization of the Mittag–Leffler function and solution of system of fractional differential equations
... that fractional calculus can describe memory phenomena and hereditary properties of various materials and processes [2–7, ...decades, fractional cal- culus has been applied to different fields of science and ... See full document
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Fractional differential equations for the generalized Mittag Leffler function
... In certain areas of applied mathematics and mathematical physics, special functions and their generalizations are used for finding solutions of the initial or boundary value problems for partial differential ... See full document
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Generalized Mittag Leffler function method for solving Lorenz system
... The Mittag-Leffler function and its generalizations used to obtain a new method for solving system of nonlinear fractional differential equations (Lorenz ...new ... See full document
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A Chebyshev spectral method based on operational matrix for fractional differential equations involving non singular Mittag Leffler kernel
... for system (1) with Mittag- Leffler non-singular kernels and as mentioned in [27], we should consider the initial condi- tion ...of system (1), it is significant to solve the system (1) ... See full document
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Autoconvolution equations and generalized Mittag-Leffler functions
... autoconvolution equations and generalized Mittag-Leffler func- ...of equations are given in terms of the Laplace transform convolution of a function with ...autoconvolution ... See full document
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Fractional operators with generalized Mittag Leffler k function
... of fractional differential equa- tions, and they are associated with a wide range of problems in many areas of mathematics and ...of Mittag-Leffler functions have led many researchers in the theory of special ... See full document
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An anomalous diffusion model based on a new general fractional operator with the Mittag Leffler function of Wiman type
... differential equations, the theoretical analyses are not in good agreement with the real observations ...of fractional calculus theory (FCT), the scien- tists discovered that the fractional ... See full document
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q Mittag Leffler stability and Lyapunov direct method for differential systems with q fractional order
... In this paper, we studied the stability of systems with q-fractional order. We proposed the definition of q-Mittag-Leffler stability, presented sufficient criteria of q-Mittag-Leffler sta- bility and the ... See full document
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Optimality conditions for fractional differential inclusions with nonsingular Mittag–Leffler kernel
... multiple fractional time classical Caputo and Riemann– Liouville derivatives, similar problems to ...for fractional differential inclusions with four-point nonlocal Riemann–Liouville type integral boundary ... See full document
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On the solutions of certain fractional kinetic equations involving k Mittag Leffler function
... Riemann–Liouville fractional derivative (see [17]) and is today frequently used in ...of fractional differential equations in classical form, that ... See full document
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Ulam–Hyers–Mittag Leffler stability for ψ Hilfer fractional order delay differential equations
... Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ -Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality involved ... See full document
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Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution
... Gosta Mittag-Leffler (1903; 1905) and it arises as the solution of a fractional differential ...This function and its many extended versions were studied by many mathematicians ... See full document
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Fractional differintegral operators of the generalized Mittag-Leffler type function
... The Mittag-Leffler function has gained importance and popularity during the last one and a half decades due mainly to its applications in the solution of fractional-order ... See full document
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Solution of One –dimensional Fractional Diffusion Equations Involving Caputo Fractional Derivatives in terms of the Mittag Leffler Functions
... During the last two decades. interest is developed in formulating fractional diffusion equations due to their importance and usefulness in numerous problems arising in certain areas of science . engineering ... See full document
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Mittag–Leffler stability for a new coupled system of fractional order differential equations on network
... differential equations on networks for many years ...coupled system of fractional-order differential equations on the ...global Mittag–Leffler stability of the follow- ing coupled ... See full document
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On a Fractional Master Equation and a Fractional Diffusion Equation
... where N(r,t) denotes the probability of finding the diffusive entity at the position r ∈ R d (which may be discrete or continuous) at time t if it was at the origin r=0 at time t=0. Here W(r) is the fractional ... See full document
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... generalized fractional integral inequalities and their particular cases are es- ...generalized fractional Korkine’s identity is proved. At the end Gr¨ uss fractional integral inequality via ... See full document
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Fractional Hermite Hadamard inequalities containing generalized Mittag Leffler function
... of fractional calculus, Işcan et ...of fractional Hermite-Hadamard’s inequality via harmonically convex ...of fractional Hermite-Hadamard-type inequal- ities via harmonically convex functions in ... See full document
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Differential Subordination with Hadamard Product of Generalized k-Mittag-Leffler Function and a Class of Function
... introduce Differential subordination with Hadamard Product (Convolution) of Generalized k- Mittag-Leffler function and A Class of Function in the Open Unit Disk ⅅ = 𝑧 ∈ ℂ ∶ 𝑧 < 1 , ... See full document
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Some New Ostrowski Type Inequalities via Fractional Integrals
... Ostrowski Type Inequalities Via Riemann-Liouville Fractional Integrals Ostrowski Inequality. In 1938, the following celebrated inequality was established by Ostrowski [11]. Theorem 1.1. Let f : I −→ R where I is ... See full document
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