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 作者：Erdal Bas , Ramazan Ozarslan ... 来源：[J].Advances in Difference Equations(IF 0.76), 2018, Vol.2018 (1), pp.1-19Springer 摘要：Abstract(#br)In this study, we consider fractional Sturm–Liouville (S–L) problems within non-singular operators. A fractional S–L problem with exponential and Mittag-Leffler kernels is given with different versions in the Riemann–Liouville and Caputo sense. Also, we obt...
 作者：Erdal Bas , Funda Metin 来源：[J].Advances in Difference Equations(IF 0.76), 2013, Vol.2013 (1), pp.1-13Springer 摘要：Abstract(#br)In this paper, we define a fractional singular Sturm-Liouville operator having Coulomb potential of type [InlineEquation not available: see fulltext.]. Our main issue is to investigate the spectral properties for the operator. Furthermore, we prove new results accord...
 作者：Erdal Bas , Funda Metin Turk 来源：[J].Thermal Science(IF 0.838), 2018, Vol.22 (Supplement), pp.S79-S85塞尔维亚热力工程师协会 摘要：In this study, the zeros of eigen functions of spectral theory are considered in fractional Sturm-Liouville problem. The 1st and 2nd comparison theorems for fractional Sturm-Liouville equation with boundary condition and their proofs are given. In this way, our new approximation ...
 作者：Funda Metin Turk , Erdal Bas 来源：[J].Thermal Science(IF 0.838), 2019, Vol.23 (Supplement), pp.S139-S152塞尔维亚热力工程师协会 摘要：In study, we show the existence and integral representation of solution for energy-dependent fractional Sturm-Liouville impulsive problem of order with α(1,2] impulsive and boundary conditions. An existence theorem is proved for energy-dependent fractional Sturm-Liouville i...
 作者：Erdal Bas 来源：[J].Journal of Function Spaces and Applications, 2013, Vol.2013DOAJ 摘要：We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximatio...
 作者：Erdal Bas , Funda Metin 来源：[J].Advances in Pure Mathematics, 2015, Vol.05 (13), pp.767-773Scientific Research Publishing 摘要：In this paper, spectral analysis of fractional Sturm Liouville problem defined on (0, 1], having the singularity of type at zero and researched the fundamental properties of the eigenfunctions and eigenvalues for the operator. We show that the eigenvalues and eigenfunctions of t...
 作者：Erdal Bas , Kehe Zhu 来源：[J].Journal of Function Spaces and Applications, 2013, Vol.2013Hindawi 摘要：We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore, we prove new approximatio...
 作者：Erdal Bas , Resat Yilmazer ... 来源：[J].The Scientific World Journal(IF 1.73), 2013, Vol.2013Hindawi 摘要：This paper deals with the design fractional solution of Bessel equation. We obtain explicit solutions of the equation with the help of fractional calculus techniques. Using the N -fractional calculus operator N ν method, we derive the fractional solutions of the equation.
 作者：Erdal Bas , Ramazan Ozarslan , Dumitru Baleanu 来源：[J].Open Physics, 2018, Vol.16 (1), pp.801-809De Gruyter 摘要：Abstract In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems. From this point of view, we find representations of solutions and asymptotic expansions for eigenfunction...
 作者：Ramazan Ozarslan , Ahu Ercan , Erdal Bas 来源：[J].Fractal and Fractional, 2019, Vol.3 (2)MDPI 摘要：In this paper, some real world modeling problems: vertical motion of a falling body problem in a resistant medium, and the Malthusian growth equation, are considered by the newly defined Liouville–Caputo fractional conformable derivative and the modified form of this new def...