Search
Search Results
-
Fractional Integro-Differential Equations in Wiener Spaces
In this paper we study the global solvability of several ordinary and partial fractional integro-differential equations in theWiener space of...
-
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....
-
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...
-
Trace Inequalities for Fractional Integrals in Mixed Norm Grand Lebesgue Spaces
D. Adams type trace inequalities for multiple fractional integral operators in grand Lebesgue spaces with mixed norms are established. Operators...
-
Multivariate Fractional Phase—Type Distributions
We extend the Kulkarni class of multivariate phase-type distributions in a natural time-fractional way to construct a new class of multivariate...
-
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...
-
Two High-Order Time Discretization Schemes for Subdiffusion Problems with Nonsmooth Data
Two new high-order time discretization schemes for solving subdiffusion problems with nonsmooth data are developed based on the corrections of the...
-
Identification of System with Distributed-Order Derivatives
The identification problem for system with distributed-order derivative was considered. The order-weight distribution was approximated by piecewise...
-
Maximum Principles and Applications for Fractional Differential Equations with Operators Involving Mittag-Leffler Function
In this paper, we formulate and prove two maximum principles to nonlinear fractional differential equations. We consider a fractional derivative...
-
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...
-
Existence of Local Solutions for Fractional Difference Equations with Left Focal Boundary Conditions
For 1 < ν ≤ 2 a real number and T ≥ 3 a natural number, conditions are given for the existence of solutions of the ν th order Atıcı-Eloe fractional...
-
Global stability of fractional different orders nonlinear feedback systems with positive linear parts and interval state matrices
The global stability of continuous-time fractional orders nonlinear feedback systems with positive linear parts and interval state matrices is...
-
The Bouncing Ball and the Grünwald-Letnikov Definition of Fractional Derivative
This paper proposes a conceptual experiment embedding the model of a bouncing ball and the Grünwald-Letnikov (GL) formulation for derivative of...
-
Difference Between Riesz Derivative and Fractional Laplacian on the Proper Subset of ℝ
In general, the Riesz derivative and the fractional Laplacian are equivalent on ℝ. But they generally are not equivalent with each other on any...
-
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....
-
Erratum: On modifications of the exponential integral with the Mittag-Leffler function
Some plots of the authors’ paper “On modifications of the exponential integral with the Mittag-Leffler function” ( Fract. Calc. Appl. Anal . 21 , No 5...
-
Multi-term fractional integro-differential equations in power growth function spaces
In this paper we characterize the Laplace transform of functions with power growth square averages and study several multi-term Caputo and...
-
Nakhushev Extremum Principle for a Class of Integro-Differential Operators
We investigate extreme properties of a class of integro-differential operators. We prove an assertion that extends the Nakhushev extremum principle,...
-
Robust Fractional-Order Perfect Control for Non-Full Rank Plants Described in the Grünwald-Letnikov IMC Framework
The advanced analytical study in the field of fractional-order non-full rank inverse model control design is presented in the paper. Following the...