On the spectrum of fractional difference operator

This work mainly explores the idea of the spectrum of the fractional difference operator Δν(α) (of order α∈R) over the Banach space l1. The difference operator Δν(α) via the sequence x=(xk) is defi...

[1]  Hasan Furkan,et al.  On the fine spectrum of the operator B(r, s, t) over c0 and c , 2007, Comput. Math. Appl..

[2]  Feyzi Basar,et al.  On the fine spectrum of the generalized difference operator B(r, s) over the sequence spaces c0 and c , 2005, Int. J. Math. Math. Sci..

[3]  Mohammad Mursaleen,et al.  On generalized means and some related sequence spaces , 2011, Comput. Math. Appl..

[4]  R. Çolak,et al.  Summability Theory and Its Applications , 2018 .

[5]  P. Srivastava,et al.  On Some Study of the Fine Spectra of n-th Band Triangular Matrices , 2016, 1606.05993.

[7]  Kun-Jen Chung,et al.  An accurate and reliable mathematical analytic solution procedure for the EOQ model with non-instantaneous receipt under supplier credits , 2020, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

[8]  Pinakadhar Baliarsingh,et al.  Some new difference sequence spaces of fractional order and their dual spaces , 2013, Appl. Math. Comput..

[9]  On the spectrum of 2-nd order generalized difference operator $\delta^2$ over the sequence space $c_0$ , 2013 .

[10]  Manuel Gonzalez,et al.  The fine spectrum of the Cesàro operator inlp (1 , 1985 .

[11]  B. Altay,et al.  Some paranormed sequence spaces of non-absolute type derived by weighted mean , 2006 .

[12]  S. Dutta,et al.  On the classes of fractional order difference sequence spaces and their matrix transformations , 2015, Appl. Math. Comput..

[13]  Feyzi Basar,et al.  On the fine spectrum of the Cesàro operator in c0 , 2004 .

[14]  K. Kayaduman,et al.  On the fine spectrum of the generalized difference operator $B(r,s)$ over the sequence space $\ell_1$ and $bv$ , 2006 .

[15]  F. Başar,et al.  A Survey for the Spectrum of Triangles over Sequence Spaces , 2019, Numerical Functional Analysis and Optimization.

[16]  S. Dutta,et al.  Some Spectral Aspects of the Operator over the Sequence Spaces and , 2013 .

[17]  J. B. Reade,et al.  On The Spectrum of the Cesaro Operator , 1985 .

[18]  M. Mursaleen,et al.  The Spectrum and fine spectrum of generalized Rhaly-Cesàro matrices on c_0 and c , 2018 .

[19]  H. Kizmaz,et al.  On Certain Sequence Spaces , 1981, Canadian Mathematical Bulletin.

[20]  Hasan Furkan,et al.  On the fine spectrum of the operator B(r, s, t) over the sequence spaces lp and bvp, (1p∞) , 2010, Comput. Math. Appl..

[21]  S. Dutta,et al.  On the fine spectra of the generalized rth difference operator Δvr on the sequence space l1 , 2012, Appl. Math. Comput..

[22]  F. Başar,et al.  On the Fine Spectrum of the Operator Defined by the Lambda Matrix over the Spaces of Null and Convergent Sequences , 2013 .

[23]  P. Baliarsingh.  On a Generalized Difference Operator and Its Fine Spectra , 2020 .

[24]  Bilal Altay,et al.  On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings , 2003 .

[25]  S. Dutta,et al.  On certain Toeplitz matrices via difference operator and their applications , 2016 .