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Analysis of Fractional Integro-Differential Equations with Nonlocal Erdélyi-Kober Type Integral Boundary Conditions
In this article, we study the existence and uniqueness of solutions for nonlinear fractional integro-differential equations with nonlocal...
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Experimental Investigation of Fractional Order Behavior in an Oscillating Disk
An experimental investigation is presented of an oscillating disk submerged in water. The system is adapted from one modeled by the Bagley-Torvik...
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Mkhitar Djrbashian and His Contribution to Fractional Calculus
This survey paper is devoted to the description of the results by M.M. Djrbashian related to the modern theory of Fractional Calculus. M.M....
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Applications of Erdélyi-Kober Fractional Integral for Solving Time-Fractional Tricomi-Keldysh Type Equation
In this paper we consider Cauchy problem of time-fractional Tricomi-Keldysh type equation. Based on the theory of a Erdélyi-Kober fractional integral...
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Approximate Controllability for Stochastic Fractional Hemivariational Inequalities of Degenerate Type
This paper is mainly concerned with stochastic fractional hemivariational inequalities of degenerate (or Sobolev) type in Caputo and...
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Solution of Bicomplex Time Fractional Schrödinger Equation Involving Bicomplex Mittag-Leffler Function
In this paper, we investigate the bicomplex Schrödinger’s equation of fractional order and derive its solution via Euler identity. The first order...
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Fractional Linear Volterra Integro-Differential Equations in Banach Spaces
The paper presents the foundations of the theory of linear fractional Volterra integro-differential equations of convolution type in Banach spaces....
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Tempered Relaxation Equation and Related Generalized Stable Processes
Fractional relaxation equations, as well as relaxation functions timechanged by independent stochastic processes have been widely studied (see, for...
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On the Green Function of the Killed Fractional Laplacian on the Periodic Domain
We give a very simple proof of the positivity and unimodality of the Green function for the killed fractional Laplacian on the periodic domain. The...
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On the Dynamics of Two-Dimensional Fractional Linear Control Systems
In this paper, we examine the behavior of phase trajectories of fractional two-dimensional linear systems with control. We focus on the fractional...
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On a Solution of a Fractional Hyper-Bessel Differential Equation by Means of a Multi-Index Special Function
In this paper we introduce a new multiple-parameters (multi-index) extension of the Wright function that arises from an eigenvalue problem for a case...
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Bifurcation control for a fractional-order delayed SEIR rumor spreading model with incommensurate orders
A fractional-order delayed SEIR rumor spreading model with a nonlinear incidence function is established in this paper, and a novel strategy to...
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Mathematical Model of the Fitzhugh–Nagumo Hereditary Oscillator
The paper proposes a new mathematical FitzHugh—Nagumo model with memory, which describes the propagation of a nerve impulse in a membrane. The model...
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An Inverse Problem Approach to Determine Possible Memory Length of Fractional Differential Equations
It is a fundamental problem to determine a starting point in fractional differential equations which reveals the memory length in real life modeling....
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On a new fractional-order Logistic model with feedback control
In this paper, we formulate and analyze a new fractional-order Logistic model with feedback control, which is different from a recognized...
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The Nonemptiness and Compactness of Mild Solution Sets for Riemann-Liouville Fractional Delay Differential Variational Inequalities
This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential...
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Boundary-Value Problem with Shift for a Linear Ordinary Differential Equation with the Operator of Discretely Distributed Differentiation
In this paper, we study a boundary-value problem with local shift for a linear ordinary differential equation with the operator of discretely...
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Output Error MISO System Identification Using Fractional Models
This paper deals with system identification for continuous-time multiple-input single-output (MISO) fractional differentiation models. An output...
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Numerical scheme to solve a class of variable—order Hilfer—Prabhakar fractional differential equations with Jacobi wavelets polynomials
In this paper, we introduced a numerical approach for solving the fractional differential equations with a type of variable-order Hilfer-Prabhakar...