Yazarlar
Yayınlar
- Kitap BölümüYalnız künye2025Scopus SJRQ4The Robust Method for Solving the Conformable Time-Fractional Klein–Gordon Equation
Anaç, Halil
The present study used the conformable fractional q-Shehu homotopy analysis transform method to investigate the conformable time-fractional Klein–Gordon equations with proportional delay. The numerical answers to this problem are graphed using Maple software. The efficacy and consistency of the proposed method have been demonstrated through numerical simulations.
- MakaleYalnız künye2017Scopus SJRQ2Solutions around a regular α singular point of a sequential conformable fractional differential equation
Unal, Emrah; Gokdogan, Ahmet; Celik, Ercan
In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitions of α-analytic point, α-ordinary point and regular α singular point are presented. Finally, the fractional power series solutions are given around a regular-singular point, in the case of variable coefficients for homogeneous sequential linear conformable fractional differential equations of order 2α.
AtıfScopus9WoS9
İncele - MakaleAçık Erişim2017Scopus SJRQ2Solution of conformable fractional ordinary differential equations via differential transform method
Ünal, Emrah; Gökdoğan, Ahmet
Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations.
AtıfScopus134WoS116OpenAlex140İncele - MakaleYalnız künye2017Scopus SJRQ2The operator method for local fractional linear differential equations
Ünal, Emrah; Gökdoğan, Ahmet; Cumhur, İshak
In this work, we give the particular solution for nonhomogeneous sequential linear conformable fractional differential equations with constant coefficients by using the operator method.
AtıfScopus9WoS7OpenAlex9İncele - MakaleAçık Erişim2016Scopus SJRQ3Existence and uniqueness theorems for sequential linear conformable fractional differential equations
Gökdoğan, Ahmet; Ünal, Emrah; Çelik, Ercan
Recently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014). Later, Abdeljawad (2015) improved these definitions and gave the basic concepts in this new fractional calculus. In this paper, we generalize Abel's formula and Wronskian determinant definition and establish existence and uniqueness theorems for sequential linear conformable fractional differential equations.
AtıfScopus27WoS26OpenAlex40İncele - MakaleAçık Erişim2016Scopus SJRQ4On the fractional Riccati differential equation
Khaniyev, Tahir; Merdan, Mehmet
In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order α are presented graphically and table. The results obtained by the CFD(conformable fractional derivative) are compared with homotopy perturbation method(HPM), fractional variational iteration method(FVIM).
AtıfScopus3OpenAlex3İncele