Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Laledj, Nadjet Uniqueness and Ulam stability for implicit fractional \(q\)-difference equations via Picard operators theory. (English) Zbl 1509.39003 Int. J. Dyn. Syst. Differ. Equ. 13, No. 1, 58-75 (2023). MSC: 39A13 26A33 39A30 47H10 47N20 PDFBibTeX XMLCite \textit{S. Abbas} et al., Int. J. Dyn. Syst. Differ. Equ. 13, No. 1, 58--75 (2023; Zbl 1509.39003) Full Text: DOI
Abdelli, H.; Graef, J. R.; Kadari, H.; Ouahab, A.; Oumansour, A. Existence of solutions to systems of second-order impulsive differential equations with integral boundary conditions on the half-line. (English) Zbl 1501.34029 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 29, No. 2, 91-109 (2022). Reviewer: Jan Tomeček (Olomouc) MSC: 34B37 34A37 34B40 47N20 34B10 PDFBibTeX XMLCite \textit{H. Abdelli} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 29, No. 2, 91--109 (2022; Zbl 1501.34029) Full Text: Link
Salim, Abdelkrim; Benchohra, Mouffak; Graef, John R.; Lazreg, Jamal Eddine Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations. (English) Zbl 1493.34037 J. Fixed Point Theory Appl. 24, No. 1, Paper No. 7, 14 p. (2022). MSC: 34A09 34A08 34A38 34A12 47N20 PDFBibTeX XMLCite \textit{A. Salim} et al., J. Fixed Point Theory Appl. 24, No. 1, Paper No. 7, 14 p. (2022; Zbl 1493.34037) Full Text: DOI
Malti, Ahmed Ilyes N.; Benchohra, Mouffak; Graef, John R.; Lazreg, Jamal-Eddine Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations. (English) Zbl 1488.34215 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 78, 17 p. (2020). MSC: 34B37 34B15 26A33 34A08 34A37 47N20 34A09 PDFBibTeX XMLCite \textit{A. I. N. Malti} et al., Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 78, 17 p. (2020; Zbl 1488.34215) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Lazreg, Jamal-Eddine Implicit Hadamard fractional differential equations with impulses under weak topologies. (English) Zbl 1421.34002 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 26, No. 2, 89-112 (2019). MSC: 34A08 34A37 34A09 34G20 PDFBibTeX XMLCite \textit{S. Abbas} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 26, No. 2, 89--112 (2019; Zbl 1421.34002) Full Text: Link
Benhamida, Wafaa; Graef, John R.; Hamani, Samira Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions. (English) Zbl 1424.34012 Fract. Differ. Calc. 8, No. 1, 165-176 (2018). MSC: 34A08 26A33 34B10 PDFBibTeX XMLCite \textit{W. Benhamida} et al., Fract. Differ. Calc. 8, No. 1, 165--176 (2018; Zbl 1424.34012) Full Text: DOI
Padhi, Seshadev; Graef, John R.; Pati, Smita Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions. (English) Zbl 1406.34015 Fract. Calc. Appl. Anal. 21, No. 3, 716-745 (2018). MSC: 34A08 34B18 34B15 34B10 47N20 PDFBibTeX XMLCite \textit{S. Padhi} et al., Fract. Calc. Appl. Anal. 21, No. 3, 716--745 (2018; Zbl 1406.34015) Full Text: DOI
Abbas, S.; Benchohra, M.; Graef, J. R. Weak solutions to implicit differential equations involving the Hilfer fractional derivative. (English) Zbl 1391.34128 Nonlinear Dyn. Syst. Theory 18, No. 1, 1-11 (2018). MSC: 34K37 34K32 47N20 PDFBibTeX XMLCite \textit{S. Abbas} et al., Nonlinear Dyn. Syst. Theory 18, No. 1, 1--11 (2018; Zbl 1391.34128)
Abbas, Saïd; Benchohra, Mouffak; Graef, John R.; Henderson, Johnny Implicit fractional differential and integral equations. Existence and stability. (English) Zbl 1390.34002 De Gruyter Series in Nonlinear Analysis and Applications 26. Berlin: De Gruyter (ISBN 978-3-11-055313-0/hbk; 978-3-11-055381-9/ebook). xxiii, 336 p. (2018). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34-02 34K37 35R11 45G10 26A33 47N20 34K32 34K27 34K20 34K40 34K45 34K10 PDFBibTeX XMLCite \textit{S. Abbas} et al., Implicit fractional differential and integral equations. Existence and stability. Berlin: De Gruyter (2018; Zbl 1390.34002) Full Text: DOI
Graef, John R.; Guerraiche, Nassim; Hamani, Samira Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces. (English) Zbl 1449.34017 Stud. Univ. Babeș-Bolyai, Math. 62, No. 4, 427-438 (2017). MSC: 34A08 34B15 34G20 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Stud. Univ. Babeș-Bolyai, Math. 62, No. 4, 427--438 (2017; Zbl 1449.34017) Full Text: DOI
Afrouzi, Ghasem A.; Graef, John R.; Shokooh, Saeid Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting. (English) Zbl 1413.35186 Miskolc Math. Notes 18, No. 1, 31-45 (2017). MSC: 35J57 35D30 35J50 35J62 35J70 46N20 58E05 PDFBibTeX XMLCite \textit{G. A. Afrouzi} et al., Miskolc Math. Notes 18, No. 1, 31--45 (2017; Zbl 1413.35186) Full Text: DOI
Benchohra, Mouffak; Bouriah, Soufyane; Graef, John R. Boundary value problems for nonlinear implicit Caputo-Hadamard-type fractional differential equations with impulses. (English) Zbl 1376.26006 Mediterr. J. Math. 14, No. 5, Paper No. 206, 21 p. (2017). MSC: 26A33 34A08 34A37 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Mediterr. J. Math. 14, No. 5, Paper No. 206, 21 p. (2017; Zbl 1376.26006) Full Text: DOI
Dhage, Bapurao C.; Dhage, Shyam B.; Graef, John R. Dhage iteration method for nonlinear first order hybrid differential equations with a mixed perturbation of the second type. (English) Zbl 1365.34030 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 24, No. 3, 159-180 (2017). MSC: 34A45 34A12 47N20 34B15 PDFBibTeX XMLCite \textit{B. C. Dhage} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 24, No. 3, 159--180 (2017; Zbl 1365.34030) Full Text: Link
Graef, John; Baliki, Abdessalam; Benchohra, Mouffak Global existence and stability for second order functional evolution equations with infinite delay. (English) Zbl 1363.34261 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 23, 10 p. (2016). MSC: 34K30 34K20 47N20 PDFBibTeX XMLCite \textit{J. Graef} et al., Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 23, 10 p. (2016; Zbl 1363.34261) Full Text: DOI
Dhage, Bapurao C.; Dhage, Shyam B.; Graef, John R. Dhage iteration method for initial value problems for nonlinear first order hybrid integrodifferential equations. (English) Zbl 1350.65143 J. Fixed Point Theory Appl. 18, No. 2, 309-326 (2016). Reviewer: Neville Ford (Chester) MSC: 65R20 47H07 47H10 45K05 45G10 PDFBibTeX XMLCite \textit{B. C. Dhage} et al., J. Fixed Point Theory Appl. 18, No. 2, 309--326 (2016; Zbl 1350.65143) Full Text: DOI
Graef, John R.; Yang, Bo Positive solutions to a three point fourth order focal boundary value problem. (English) Zbl 1311.34050 Rocky Mt. J. Math. 44, No. 3, 937-951 (2014). Reviewer: Anatolij Ivan Kolosov (Khar’kov) MSC: 34B18 34B15 34B10 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{B. Yang}, Rocky Mt. J. Math. 44, No. 3, 937--951 (2014; Zbl 1311.34050) Full Text: DOI Euclid
Padhi, Seshadev; Graef, John R.; Srinivasu, P. D. N. Periodic solutions of first-order functional differential equations in population dynamics. (English) Zbl 1312.34002 New Delhi: Springer (ISBN 978-81-322-1894-4/hbk; 978-81-322-1895-1/ebook). xiv, 144 p. (2014). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34-02 34K13 34K60 47N20 92D25 PDFBibTeX XMLCite \textit{S. Padhi} et al., Periodic solutions of first-order functional differential equations in population dynamics. New Delhi: Springer (2014; Zbl 1312.34002) Full Text: DOI
Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani Impulsive differential inclusions. A fixed point approach. (English) Zbl 1285.34002 De Gruyter Series in Nonlinear Analysis and Applications 20. Berlin: de Gruyter (ISBN 978-3-11-029361-6/hbk; 978-3-11-029531-3/ebook). xi, 400 p. (2013). Reviewer: Irena Rachůnková (Olomouc) MSC: 34-02 34A37 34A60 34A12 34B40 34D23 34K30 34K45 34K50 47N20 34C60 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Impulsive differential inclusions. A fixed point approach. Berlin: de Gruyter (2013; Zbl 1285.34002) Full Text: DOI
Graef, J. R.; Kong, L. Positive solutions for a fourth order three point focal boundary value problem. (English) Zbl 1300.34052 Nonlinear Dyn. Syst. Theory 12, No. 2, 171-178 (2012). MSC: 34B18 34B10 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{L. Kong}, Nonlinear Dyn. Syst. Theory 12, No. 2, 171--178 (2012; Zbl 1300.34052)
Abbas, Saïd; Benchohra, Mouffak; Graef, John R. Integro-differential equations of fractional order. (English) Zbl 1266.45011 Differ. Equ. Dyn. Syst. 20, No. 2, 139-148 (2012). Reviewer: Martin Väth (Berlin) MSC: 45J05 45G10 26A33 47H10 PDFBibTeX XMLCite \textit{S. Abbas} et al., Differ. Equ. Dyn. Syst. 20, No. 2, 139--148 (2012; Zbl 1266.45011) Full Text: DOI
Graef, John R.; Moussaoui, Toufik Positive solutions of a system of coupled second order equations with three point boundary conditions. (English) Zbl 1263.34029 Rocky Mt. J. Math. 42, No. 4, 1169-1182 (2012). Reviewer: Smail Djebali (Algiers) MSC: 34B18 34B10 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{T. Moussaoui}, Rocky Mt. J. Math. 42, No. 4, 1169--1182 (2012; Zbl 1263.34029) Full Text: DOI Euclid
Graef, J. R.; Kong, L.; Kong Q.; Yang, Bo Second order boundary value problems with sign-changing nonlinearities and nonhomogeneous boundary conditions. (English) Zbl 1249.34055 Math. Bohem. 136, No. 4, 337-356 (2011). Reviewer: Irena Rachůnková (Olomouc) MSC: 34B10 34B15 34B08 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Math. Bohem. 136, No. 4, 337--356 (2011; Zbl 1249.34055) Full Text: EuDML Link
Benchohra, M.; Graef, J. R.; Mostefai, F.-Z. Weak solutions for boundary-value problems with nonlinear fractional differential inclusions. (English) Zbl 1236.34004 Nonlinear Dyn. Syst. Theory 11, No. 3, 227-237 (2011). Reviewer: Neville Ford (Chester) MSC: 34A08 34A60 34B15 47N20 34B10 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Nonlinear Dyn. Syst. Theory 11, No. 3, 227--237 (2011; Zbl 1236.34004)
Benmezai, Abdelhamid; Graef, John R.; Kong, Lingju Positive solutions to a two point singular boundary value problem. (English) Zbl 1239.34025 Differ. Equ. Appl. 3, No. 3, 347-373 (2011). Reviewer: Smail Djebali (Algiers) MSC: 34B18 34B15 34B16 35J25 47N20 PDFBibTeX XMLCite \textit{A. Benmezai} et al., Differ. Equ. Appl. 3, No. 3, 347--373 (2011; Zbl 1239.34025) Full Text: DOI Link
Graef, John R.; Kong, Lingju; Kong, Qingkai; Yang, Bo Positive solutions to a fourth order boundary value problem. (English) Zbl 1218.34024 Result. Math. 59, No. 1-2, 141-155 (2011). Reviewer: Smail Djebali (Algiers) MSC: 34B18 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Result. Math. 59, No. 1--2, 141--155 (2011; Zbl 1218.34024) Full Text: DOI Link
Graef, John R.; Kong, Lingju; Kong, Qingkai Higher order multi-point boundary value problems. (English) Zbl 1222.34019 Math. Nachr. 284, No. 1, 39-52 (2011). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 34B10 34B15 34B27 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Math. Nachr. 284, No. 1, 39--52 (2011; Zbl 1222.34019) Full Text: DOI
Graef, John R.; Kong, Lingju; Yang, Bo Positive solutions for third order multi-point singular boundary value problems. (English) Zbl 1224.34060 Czech. Math. J. 60, No. 1, 173-182 (2010). MSC: 34B18 34B15 34B10 34B16 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Czech. Math. J. 60, No. 1, 173--182 (2010; Zbl 1224.34060) Full Text: DOI EuDML Link
Graef, John R.; Kong, Lingju; Kong, Qingkai Ambrosetti-Prodi-type results for a third order multi-point boundary value problem. (English) Zbl 1205.34020 Nonlinear Stud. 17, No. 2, 121-130 (2010). MSC: 34B10 34B15 34B18 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Nonlinear Stud. 17, No. 2, 121--130 (2010; Zbl 1205.34020)
Hamani, Samira; Benchohra, Mouffak; Graef, John R. Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. (English) Zbl 1185.26010 Electron. J. Differ. Equ. 2010, Paper No. 20, 16 p. (2010). MSC: 26A33 34A60 34B15 PDFBibTeX XMLCite \textit{S. Hamani} et al., Electron. J. Differ. Equ. 2010, Paper No. 20, 16 p. (2010; Zbl 1185.26010) Full Text: EuDML EMIS
Graef, John R.; Kong, Lingju; Yang, Bo Positive solutions of a nonlinear higher order boundary-value problem. (English) Zbl 1198.34029 Discrete Contin. Dyn. Syst. 2009, Suppl., 276-285 (2009). Reviewer: Tihomir Gyulov (Ruse) MSC: 34B18 34B10 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Discrete Contin. Dyn. Syst. 2009, 276--285 (2009; Zbl 1198.34029)
Graef, John R.; Henderson, Johnny; Yang, Bo Positive solutions to a fourth order three point boundary value problem. (English) Zbl 1198.34024 Discrete Contin. Dyn. Syst. 2009, Suppl., 269-275 (2009). Reviewer: Tihomir Gyulov (Ruse) MSC: 34B10 34B18 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Discrete Contin. Dyn. Syst. 2009, 269--275 (2009; Zbl 1198.34024)
Graef, John R.; Kong, Lingju; Yang, Bo Existence of solutions for a higher order multi-point boundary value problem. (English) Zbl 1173.34008 Result. Math. 53, No. 1-2, 77-101 (2009). Reviewer: Minghe Pei (Jilin) MSC: 34B15 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Result. Math. 53, No. 1--2, 77--101 (2009; Zbl 1173.34008) Full Text: DOI
Graef, John R.; Kong, Lingju Existence results for nonlinear periodic boundary-value problems. (English) Zbl 1178.34024 Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 79-95 (2009). Reviewer: Anna Capietto (Torino) MSC: 34B15 34B18 34C25 47H10 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{L. Kong}, Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 79--95 (2009; Zbl 1178.34024) Full Text: DOI
Dhage, B. C.; Deshmukh, A. V.; Graef, John R. On asymptotic behavior of a nonlinear functional integral equation. (English) Zbl 1173.45005 Commun. Appl. Nonlinear Anal. 15, No. 4, 55-67 (2008). Reviewer: Alexander N. Tynda (Penza) MSC: 45G10 45M05 47H10 47H09 PDFBibTeX XMLCite \textit{B. C. Dhage} et al., Commun. Appl. Nonlinear Anal. 15, No. 4, 55--67 (2008; Zbl 1173.45005)
Benchohra, Mouffak; Graef, John R.; Hamani, Samira Existence results for boundary value problems with non-linear fractional differential equations. (English) Zbl 1198.26008 Appl. Anal. 87, No. 7, 851-863 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Appl. Anal. 87, No. 7, 851--863 (2008; Zbl 1198.26008) Full Text: DOI
Graef, John R.; Henderson, Johnny; Wong, Patricia J. Y.; Yang, Bo Three solutions of an \(n\)th order three-point focal type boundary value problem. (English) Zbl 1183.34027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3386-3404 (2008). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B18 34B10 34B15 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3386--3404 (2008; Zbl 1183.34027) Full Text: DOI
Graef, John R.; Yang, Bo Multiple positive solutions to a three point third order boundary value problem. (English) Zbl 1152.34325 Discrete Contin. Dyn. Syst. 2005, Suppl., 337-344 (2005). MSC: 34B18 34B15 34B10 47N20 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{B. Yang}, Discrete Contin. Dyn. Syst. 2005, 337--344 (2005; Zbl 1152.34325)
Graef, John R.; Qian, Chuanxi; Yang, Bo A three point boundary value problem for nonlinear fourth order differential equations. (English) Zbl 1054.34038 J. Math. Anal. Appl. 287, No. 1, 217-233 (2003). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34B18 34B10 47H10 PDFBibTeX XMLCite \textit{J. R. Graef} et al., J. Math. Anal. Appl. 287, No. 1, 217--233 (2003; Zbl 1054.34038) Full Text: DOI
Bartušek, Miroslav; Došlá, Zuzana; Graef, John R. The nonlinear limit-point/limit-circle problem for higher-order equations. (English) Zbl 0914.34023 Arch. Math., Brno 34, No. 1, 13-22 (1998). Reviewer: F.Neuman (Brno) MSC: 34C05 34C10 34B15 34C15 PDFBibTeX XMLCite \textit{M. Bartušek} et al., Arch. Math., Brno 34, No. 1, 13--22 (1998; Zbl 0914.34023) Full Text: EuDML
Graef, John R. Limit circle type results for sublinear equations. (English) Zbl 0535.34024 Pac. J. Math. 104, 85-94 (1983). Reviewer: M.Boudourides MSC: 34C05 34A34 34A30 PDFBibTeX XMLCite \textit{J. R. Graef}, Pac. J. Math. 104, 85--94 (1983; Zbl 0535.34024) Full Text: DOI
Graef, John R.; Spikes, Paul W. On the nonlinear limit-point/limit-circle problem. (English) Zbl 0535.34023 Nonlinear Anal., Theory Methods Appl. 7, 851-871 (1983). Reviewer: M.Boudourides MSC: 34C05 34A34 34C11 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{P. W. Spikes}, Nonlinear Anal., Theory Methods Appl. 7, 851--871 (1983; Zbl 0535.34023) Full Text: DOI
Graef, John R.; Spikes, Paul W. The limit point - limit circle problem for nonlinear equations. (English) Zbl 0487.34026 Spectral theory of differential operators, Proc. Conf., Birmingham/USA 1981, North-Holland Math. Stud. 55, 207-210 (1981). MSC: 34C05 34C15 34C11 34A34 PDFBibTeX XML