Goodrich, Christopher S. An analysis of nonlocal difference equations with finite convolution coefficients. (English) Zbl 1486.39021 J. Fixed Point Theory Appl. 24, No. 1, Paper No. 1, 19 p. (2022). MSC: 39A27 39A13 26A33 PDFBibTeX XMLCite \textit{C. S. Goodrich}, J. Fixed Point Theory Appl. 24, No. 1, Paper No. 1, 19 p. (2022; Zbl 1486.39021) Full Text: DOI
Macías-Díaz, J. E.; Gallegos, A. Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion-reaction equations. (English) Zbl 1524.65376 J. Comput. Appl. Math. 404, Article ID 113118, 12 p. (2022). MSC: 65M06 65M12 35R11 35K57 26A33 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{A. Gallegos}, J. Comput. Appl. Math. 404, Article ID 113118, 12 p. (2022; Zbl 1524.65376) Full Text: DOI
Goodrich, Christopher S. Discrete Kirchhoff equations with sign-changing coefficients. (English) Zbl 1481.39005 J. Difference Equ. Appl. 27, No. 5, 664-685 (2021). Reviewer: Wolfgang Förg-Rob (Innsbruck) MSC: 39A12 39A27 39A70 35G20 26D15 47H07 47H11 PDFBibTeX XMLCite \textit{C. S. Goodrich}, J. Difference Equ. Appl. 27, No. 5, 664--685 (2021; Zbl 1481.39005) Full Text: DOI
Selvam, George Maria; Alzabut, Jehad; Dhakshinamoorthy, Vignesh; Jonnalagadda, Jagan Mohan; Abodayeh, Kamaleldin Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum. (English) Zbl 1471.92051 Math. Biosci. Eng. 18, No. 4, 3907-3921 (2021). MSC: 92C10 26A33 35F25 PDFBibTeX XMLCite \textit{G. M. Selvam} et al., Math. Biosci. Eng. 18, No. 4, 3907--3921 (2021; Zbl 1471.92051) Full Text: DOI
Henderson, Johnny; Neugebauer, Jeffrey T. Existence of local solutions for fractional difference equations with left focal boundary conditions. (English) Zbl 1499.39020 Fract. Calc. Appl. Anal. 24, No. 1, 324-331 (2021). MSC: 39A13 39A27 26A33 PDFBibTeX XMLCite \textit{J. Henderson} and \textit{J. T. Neugebauer}, Fract. Calc. Appl. Anal. 24, No. 1, 324--331 (2021; Zbl 1499.39020) Full Text: DOI
Siricharuanun, Pimchana; Chasreechai, Saowaluck; Sitthiwirattham, Thanin Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters. (English) Zbl 1486.39008 Adv. Difference Equ. 2020, Paper No. 445, 16 p. (2020). MSC: 39A13 26A33 39A12 PDFBibTeX XMLCite \textit{P. Siricharuanun} et al., Adv. Difference Equ. 2020, Paper No. 445, 16 p. (2020; Zbl 1486.39008) Full Text: DOI
Siricharuanun, Pimchana; Chasreechai, Saowaluck; Sitthiwirattham, Thanin On a coupled system of fractional sum-difference equations with \(p\)-Laplacian operator. (English) Zbl 1485.39013 Adv. Difference Equ. 2020, Paper No. 361, 22 p. (2020). MSC: 39A13 39A27 26A33 34A08 PDFBibTeX XMLCite \textit{P. Siricharuanun} et al., Adv. Difference Equ. 2020, Paper No. 361, 22 p. (2020; Zbl 1485.39013) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay D. Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities. (English) Zbl 1485.39002 Adv. Difference Equ. 2019, Paper No. 450, 16 p. (2019). MSC: 39A10 39A06 39A70 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{N. D. Dimitrov}, Adv. Difference Equ. 2019, Paper No. 450, 16 p. (2019; Zbl 1485.39002) Full Text: DOI
Cheng, Wei; Xu, Jiafa; O’Regan, Donal; Cui, Yujun Positive solutions for a nonlinear discrete fractional boundary value problem with a \(p\)-Laplacian operator. (English) Zbl 1464.39005 J. Appl. Anal. Comput. 9, No. 5, 1959-1972 (2019). MSC: 39A13 39A12 39A27 45G15 45M20 PDFBibTeX XMLCite \textit{W. Cheng} et al., J. Appl. Anal. Comput. 9, No. 5, 1959--1972 (2019; Zbl 1464.39005) Full Text: DOI
Dahal, Rajendra; Goodrich, Christopher S. A uniformly sharp convexity result for discrete fractional sequential differences. (English) Zbl 1434.26008 Rocky Mt. J. Math. 49, No. 8, 2571-2586 (2019). MSC: 26A33 26A51 39A70 39B62 39A12 PDFBibTeX XMLCite \textit{R. Dahal} and \textit{C. S. Goodrich}, Rocky Mt. J. Math. 49, No. 8, 2571--2586 (2019; Zbl 1434.26008) Full Text: DOI Euclid
Khastan, A.; Azadi, H. Existence and uniqueness of solution for a nonhomogeneous discrete fractional initial value problem. (English) Zbl 1419.39015 Rocky Mt. J. Math. 49, No. 4, 1237-1257 (2019). MSC: 39A12 34A25 26A33 PDFBibTeX XMLCite \textit{A. Khastan} and \textit{H. Azadi}, Rocky Mt. J. Math. 49, No. 4, 1237--1257 (2019; Zbl 1419.39015) Full Text: DOI Euclid
Dahal, Rajendra; Goodrich, Christopher S. An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. (English) Zbl 1454.39018 J. Difference Equ. Appl. 25, No. 6, 882-903 (2019). MSC: 39A12 26D15 39A05 47H07 PDFBibTeX XMLCite \textit{R. Dahal} and \textit{C. S. Goodrich}, J. Difference Equ. Appl. 25, No. 6, 882--903 (2019; Zbl 1454.39018) Full Text: DOI
Henderson, Johnny Existence of local solutions for fractional difference equations with Dirichlet boundary conditions. (English) Zbl 1427.39002 J. Difference Equ. Appl. 25, No. 6, 751-756 (2019). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 39A12 26A33 PDFBibTeX XMLCite \textit{J. Henderson}, J. Difference Equ. Appl. 25, No. 6, 751--756 (2019; Zbl 1427.39002) Full Text: DOI
Xu, Jiafa; Goodrich, Christopher S.; Cui, Yujun Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities. (English) Zbl 1417.39030 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1343-1358 (2019). MSC: 39A14 26A33 PDFBibTeX XMLCite \textit{J. Xu} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1343--1358 (2019; Zbl 1417.39030) Full Text: DOI
Cheng, Wei; Xu, Jiafa; Cui, Yujun; Ge, Qi Positive solutions for a class of fractional difference systems with coupled boundary conditions. (English) Zbl 1459.39011 Adv. Difference Equ. 2019, Paper No. 249, 22 p. (2019). MSC: 39A13 39A12 26A33 34B18 PDFBibTeX XMLCite \textit{W. Cheng} et al., Adv. Difference Equ. 2019, Paper No. 249, 22 p. (2019; Zbl 1459.39011) Full Text: DOI
Jiang, Jiqiang; Henderson, Johnny; Xu, Jiafa; Fu, Zhengqing Positive solutions for a system of Neumann boundary value problems of second-order difference equations involving sign-changing nonlinearities. (English) Zbl 1410.39004 J. Funct. Spaces 2019, Article ID 3203401, 10 p. (2019). MSC: 39A10 39A22 PDFBibTeX XMLCite \textit{J. Jiang} et al., J. Funct. Spaces 2019, Article ID 3203401, 10 p. (2019; Zbl 1410.39004) Full Text: DOI
Promsakon, Chanon; Chasreechai, Saowaluck; Sitthiwirattham, Thanin Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions. (English) Zbl 1459.39015 Adv. Difference Equ. 2019, Paper No. 128, 22 p. (2019). MSC: 39A13 39A27 26A33 PDFBibTeX XMLCite \textit{C. Promsakon} et al., Adv. Difference Equ. 2019, Paper No. 128, 22 p. (2019; Zbl 1459.39015) Full Text: DOI
Zhang, Keyu; O’Regan, Donal; Fu, Zhengqing Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity. (English) Zbl 1448.39023 Adv. Difference Equ. 2018, Paper No. 370, 13 p. (2018). MSC: 39A27 39A12 58E05 PDFBibTeX XMLCite \textit{K. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 370, 13 p. (2018; Zbl 1448.39023) Full Text: DOI
Chen, Cheng; Xu, Jiafa; O’Regan, Donal; Fu, Zhengqing Positive solutions for a system of semipositone fractional difference boundary value problems. (English) Zbl 1400.39006 J. Funct. Spaces 2018, Article ID 6835028, 11 p. (2018). MSC: 39A13 39A22 34K37 26A33 39A70 PDFBibTeX XMLCite \textit{C. Chen} et al., J. Funct. Spaces 2018, Article ID 6835028, 11 p. (2018; Zbl 1400.39006) Full Text: DOI
Qiu, Xiaowei; Xu, Jiafa; O’Regan, Donal; Cui, Yujun Positive solutions for a system of nonlinear semipositone boundary value problems with Riemann-Liouville fractional derivatives. (English) Zbl 1393.34018 J. Funct. Spaces 2018, Article ID 7351653, 10 p. (2018). MSC: 34A08 34B15 34B18 47N20 PDFBibTeX XMLCite \textit{X. Qiu} et al., J. Funct. Spaces 2018, Article ID 7351653, 10 p. (2018; Zbl 1393.34018) Full Text: DOI
Goodrich, Christopher S. Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order. (English) Zbl 1390.39062 Positivity 22, No. 2, 551-573 (2018). MSC: 39A70 26A48 26A33 39A12 PDFBibTeX XMLCite \textit{C. S. Goodrich}, Positivity 22, No. 2, 551--573 (2018; Zbl 1390.39062) Full Text: DOI
Cheng, Wei; Xu, Jiafa; Cui, Yujun Positive solutions for a system of nonlinear semipositone fractional \(q\)-difference equations with \(q\)-integral boundary conditions. (English) Zbl 1412.34080 J. Nonlinear Sci. Appl. 10, No. 8, 4430-4440 (2017). MSC: 34B10 34B18 34A34 45G15 45M20 PDFBibTeX XMLCite \textit{W. Cheng} et al., J. Nonlinear Sci. Appl. 10, No. 8, 4430--4440 (2017; Zbl 1412.34080) Full Text: DOI
Macías-Díaz, J. E. Existence and uniqueness of positive and bounded solutions of a discrete population model with fractional dynamics. (English) Zbl 1369.92099 Discrete Dyn. Nat. Soc. 2017, Article ID 5716015, 7 p. (2017). MSC: 92D25 35R11 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, Discrete Dyn. Nat. Soc. 2017, Article ID 5716015, 7 p. (2017; Zbl 1369.92099) Full Text: DOI
Erbe, Lynn; Goodrich, Christopher S.; Jia, Baoguo; Peterson, Allan Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions. (English) Zbl 1422.39027 Adv. Difference Equ. 2016, Paper No. 43, 31 p. (2016). MSC: 39A13 26A48 26A51 39A06 39A10 39A22 39A30 39B62 26A33 PDFBibTeX XMLCite \textit{L. Erbe} et al., Adv. Difference Equ. 2016, Paper No. 43, 31 p. (2016; Zbl 1422.39027) Full Text: DOI
Lv, Weidong; Zhu, Xin-yun Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. (English) Zbl 1383.39002 Bound. Value Probl. 2016, Paper No. 77, 14 p. (2016). MSC: 39A05 39A10 26A33 39A12 PDFBibTeX XMLCite \textit{W. Lv} and \textit{X.-y. Zhu}, Bound. Value Probl. 2016, Paper No. 77, 14 p. (2016; Zbl 1383.39002) Full Text: DOI
Li, Yaohong; Sang, Yanbin; Zhang, Haiyan Solvability of a coupled system of nonlinear fractional differential equations with fractional integral conditions. (English) Zbl 1352.34009 J. Appl. Math. Comput. 50, No. 1-2, 73-91 (2016). Reviewer: Fateh Ellaggoune (Guelma) MSC: 34A08 34B10 47N20 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Appl. Math. Comput. 50, No. 1--2, 73--91 (2016; Zbl 1352.34009) Full Text: DOI
Xie, Zuoshi; Hou, Chengmin Properties of right fractional sum and right fractional difference operators and application. (English) Zbl 1422.39052 Adv. Difference Equ. 2015, Paper No. 288, 16 p. (2015). MSC: 39A99 39A12 26A33 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{C. Hou}, Adv. Difference Equ. 2015, Paper No. 288, 16 p. (2015; Zbl 1422.39052) Full Text: DOI
Kang, Shugui; Chen, Huiqin; Guo, Jianmin Existence of positive solutions for a system of Caputo fractional difference equations depending on parameters. (English) Zbl 1422.39001 Adv. Difference Equ. 2015, Paper No. 138, 14 p. (2015). MSC: 39A05 39A12 26A33 PDFBibTeX XMLCite \textit{S. Kang} et al., Adv. Difference Equ. 2015, Paper No. 138, 14 p. (2015; Zbl 1422.39001) Full Text: DOI
Sitthiwirattham, Thanin Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three-point fractional sum boundary conditions. (English) Zbl 1334.39023 Math. Methods Appl. Sci. 38, No. 13, 2809-2815 (2015). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 39A12 39A05 34B15 34A08 PDFBibTeX XMLCite \textit{T. Sitthiwirattham}, Math. Methods Appl. Sci. 38, No. 13, 2809--2815 (2015; Zbl 1334.39023) Full Text: DOI
Goodrich, Christopher S. Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions. (English) Zbl 1320.39001 J. Difference Equ. Appl. 21, No. 5, 437-453 (2015). MSC: 39A05 39A12 39A99 26A33 47H07 PDFBibTeX XMLCite \textit{C. S. Goodrich}, J. Difference Equ. Appl. 21, No. 5, 437--453 (2015; Zbl 1320.39001) Full Text: DOI
Lv, Weidong; Feng, Jishe Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces. (English) Zbl 1417.39001 Adv. Difference Equ. 2014, Paper No. 184, 12 p. (2014). MSC: 39A05 26A33 39A10 39A12 PDFBibTeX XMLCite \textit{W. Lv} and \textit{J. Feng}, Adv. Difference Equ. 2014, Paper No. 184, 12 p. (2014; Zbl 1417.39001) Full Text: DOI
Goodrich, Christopher S. A convexity result for fractional differences. (English) Zbl 1314.26010 Appl. Math. Lett. 35, 58-62 (2014). MSC: 26A33 39A12 PDFBibTeX XMLCite \textit{C. S. Goodrich}, Appl. Math. Lett. 35, 58--62 (2014; Zbl 1314.26010) Full Text: DOI
Dahal, Rajendra; Goodrich, Christopher S. A monotonicity result for discrete fractional difference operators. (English) Zbl 1296.39016 Arch. Math. 102, No. 3, 293-299 (2014); erratum ibid. 104, No. 6, 599-600 (2015). Reviewer: Petr Zemanek (Brno) MSC: 39A70 26A33 26A48 39A12 PDFBibTeX XMLCite \textit{R. Dahal} and \textit{C. S. Goodrich}, Arch. Math. 102, No. 3, 293--299 (2014; Zbl 1296.39016) Full Text: DOI