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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...

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