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Emrah Ünal

Publications and source records attributed to Emrah Ünal.

5 recordsLinked to original sources
arXiv2016

General Solution to Sequential Linear Conformable Fractional Differential Equations With Constant Coefficients

In this work, we give the general solution sequential linear conformable fractional differential equations in the case of constant coefficients for α(\in)(0,1]. In homogeneous case, we use a fractional exponential function which generalizes the corresponding ordinary function. In non-homogeneous case, we present to fractional the method of variation of parameters for a particular solution of sequential linear conformable fractional differential equations.

math.CA↗
arXiv2015

Conformable Fractional Bessel Equation and Bessel Functions

In this work, we study the fractional power series solutions around regular singular point x=0 of conformable fractional Bessel differential equation and fractional Bessel functions. Then, we compare fractional solutions with ordinary solutions. In addition, we present certain property of fractional Bessel functions.

math.CA↗
arXiv2015

Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations

Recently, a new fractional derivative called the conformable fractional derivative is given on based basic limit definition derivative in [4]. Then, the fractional versions of chain rules, exponential functions, Gronwalls inequality, integration by parts, Taylor power series expansions is developed in [5]. In this paper, we present existence and uniqueness theorems for sequential linear conformable fractional differential equations.

math.CA↗
arXiv2015

Solutions of Sequential Conformable Fractional Differential Equations around an Ordinary Point and Conformable Fractional Hermite Differential Equation

In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous sequential linear conformable fractional differential equations of order 2α. Further, we introduce the conformable fractional Hermite differential equations, conformable fractional Hermite polynomials and basic properties of these polynomials.

math.CA↗