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   Articles with "tempered fractional" as a keyword



Stability analysis for ς‐tempered fractional‐order systems

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recommendations! Published in 2025 at "Asian Journal of Control"

DOI: 10.1002/asjc.3622

Abstract: The paper deals with ς$$ \varsigma $$ ‐tempered fractional derivatives, along with their stability properties. Firstly, we obtain the derivative inequalities, which are essential in applying the theorems derived in this work. Then, by using… read more here.

Keywords: fractional order; stability; stability analysis; order systems ... See more keywords

Asymptotic stability of linear tempered fractional difference system

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recommendations! Published in 2025 at "Asian Journal of Control"

DOI: 10.1002/asjc.70011

Abstract: Tempered fractional difference system, as a kinetic evolution on time scales that incorporates a tempered characteristic factor within the framework of the fractional difference equation, exhibits considerable potential in elucidating specific physical phenomena. However, essential… read more here.

Keywords: difference system; fractional difference; asymptotic stability; difference ... See more keywords
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New theories and applications of tempered fractional differential equations

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recommendations! Published in 2021 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-021-06628-4

Abstract: In this paper, we develop theories, properties and applications of a new technique in tempered fractional calculus called the Tempered Fractional Natural Transform Method. This method can be used to solve a myriad of problems… read more here.

Keywords: fractional natural; tempered fractional; method; natural transform ... See more keywords

Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion

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recommendations! Published in 2019 at "Numerical Algorithms"

DOI: 10.1007/s11075-019-00800-z

Abstract: In this paper, we study the numerical schemes for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion. The main challenges of the numerical schemes come from the singularity… read more here.

Keywords: planck equation; fokker planck; tempered fractional; fractional brownian ... See more keywords
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A computationally efficient method for tempered fractional differential equations with application

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recommendations! Published in 2018 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-017-0522-1

Abstract: This paper investigates the numerical approximation of the tempered fractional integral by using the Sinc-collocation scheme. The algorithm is extended to solve a class of tempered fractional differential equations that converges to the solution with… read more here.

Keywords: efficient method; tempered fractional; fractional differential; differential equations ... See more keywords
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Numerical schemes for a class of tempered fractional integro-differential equations

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recommendations! Published in 2020 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2020.05.026

Abstract: Abstract For a class of tempered fractional integro-differential equation of the Caputo type, a comparative study of three numerical schemes is presented in this paper. The schemes discussed are Linear, Quadratic and Quadratic-Linear schemes. Four… read more here.

Keywords: integro differential; tempered fractional; numerical schemes; fractional integro ... See more keywords

Tempered fractional Poisson processes and fractional equations with Z-transform

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recommendations! Published in 2018 at "Stochastic Analysis and Applications"

DOI: 10.1080/07362994.2020.1748056

Abstract: Abstract In this article, we derive the state probabilities of different type of space- and time-fractional Poisson processes using z-transform. We work on tempered versions of time-fractional Poisson process and space-fractional Poisson processes. We also… read more here.

Keywords: poisson processes; tempered fractional; fractional equations; poisson ... See more keywords
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TEMPERED FRACTIONAL CALCULUS ON TIME SCALE FOR DISCRETE-TIME SYSTEMS

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recommendations! Published in 2021 at "Fractals"

DOI: 10.1142/s0218348x21400338

Abstract: The fractional derivative holds historical dependence or non-locality and it becomes a powerful tool in many real-world applications. But it also brings error accumulation of the numerical solutions as well as the theoretical analysis since… read more here.

Keywords: tempered fractional; time; fractional calculus; time scale ... See more keywords

Tempered Mittag–Leffler Stability of Tempered Fractional Dynamical Systems

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recommendations! Published in 2020 at "Mathematical Problems in Engineering"

DOI: 10.1155/2020/7962542

Abstract: Due to finite lifespan of the particles or boundedness of the physical space, tempered fractional calculus seems to be a more reasonable physical choice. Stability is a central issue for the tempered fractional system. This… read more here.

Keywords: tempered mittag; tempered fractional; leffler stability; stability tempered ... See more keywords

Existence of Positive Solutions for a Nonlinear Iterative System of Boundary Value Problems with Tempered Fractional Order Derivative

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recommendations! Published in 2024 at "Journal of Mathematics"

DOI: 10.1155/2024/8862634

Abstract: This paper investigates the existence of positive solutions for an iterative system of nonlinear two‐point tempered fractional boundary value problem. Utilizing Krasnoselskii’s fixed point theorem in a cone, we establish criteria for the existence of… read more here.

Keywords: positive solutions; iterative system; boundary value; tempered fractional ... See more keywords

A comprehensive study on Milne-type inequalities with tempered fractional integrals

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recommendations! Published in 2024 at "Boundary Value Problems"

DOI: 10.1186/s13661-024-01855-1

Abstract: In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of… read more here.

Keywords: comprehensive study; milne type; study milne; fractional integrals ... See more keywords