Foko Tiomela, Romario Gildas; N’Guérékata, Gaston Mandata; Mophou, Gisèle Optimal \((\omega,c)\)-asymptotically periodic mild solutions to some fractional evolution equations. (English) Zbl 07818961 Fract. Differ. Calc. 13, No. 1, 1-20 (2023). MSC: 26A33 35B10 46E15 47D06 93D22 PDFBibTeX XMLCite \textit{R. G. Foko Tiomela} et al., Fract. Differ. Calc. 13, No. 1, 1--20 (2023; Zbl 07818961) Full Text: DOI
Etefa, Mesfin; N’Guérékata, Gaston M. Existence results for fractional order functional differential equations with infinite delay in the sense of the deformable derivative. (English) Zbl 07696755 An. Univ. Oradea, Fasc. Mat. 29, No. 2, 111-121 (2022). MSC: 34K40 26A33 26D10 47H10 34K37 PDFBibTeX XMLCite \textit{M. Etefa} and \textit{G. M. N'Guérékata}, An. Univ. Oradea, Fasc. Mat. 29, No. 2, 111--121 (2022; Zbl 07696755)
Chang, Yong-Kui; N’Guérékata, Gaston M.; Ponce, Rodrigo Bloch-type periodic functions. Theory and applications to evolution equations. (English) Zbl 07569558 Series on Concrete and Applicable Mathematics 22. Singapore: World Scientific (ISBN 978-981-12-5435-2/hbk; 978-981-12-5437-6/ebook). xiii, 194 p. (2022). Reviewer: Shamil Makhmutov (Masqaṭ) MSC: 47-01 47D06 30D45 45J05 34K13 26A33 PDFBibTeX XMLCite \textit{Y.-K. Chang} et al., Bloch-type periodic functions. Theory and applications to evolution equations. Singapore: World Scientific (2022; Zbl 07569558) Full Text: DOI
Mebrat, Markus; N’Guérékata, Gaston Mandata An existence result for some fractional-integro differential equations in Banach spaces via deformable derivatives. (English) Zbl 1524.34189 J. Math. Ext. 16, No. 8, Paper No. 1, 19 p. (2022). MSC: 34K30 26A33 47H10 34K37 45J05 PDFBibTeX XMLCite \textit{M. Mebrat} and \textit{G. M. N'Guérékata}, J. Math. Ext. 16, No. 8, Paper No. 1, 19 p. (2022; Zbl 1524.34189) Full Text: DOI
Foko Tiomela, R. G.; N’guérékata, G. M. \((\omega, c)\)-asymptotically periodic solutions to some fractional integro-differential equations. (English) Zbl 1513.35042 J. Fract. Calc. Appl. 13, No. 2, 100-115 (2022). MSC: 35B10 26A33 46E15 47D06 47J35 PDFBibTeX XMLCite \textit{R. G. Foko Tiomela} and \textit{G. M. N'guérékata}, J. Fract. Calc. Appl. 13, No. 2, 100--115 (2022; Zbl 1513.35042) Full Text: Link
Boudjerida, A.; Seba, D.; N’Guérékata, G. M. Controllability of coupled systems for impulsive \(\phi\)-Hilfer fractional integro-differential inclusions. (English) Zbl 1497.45009 Appl. Anal. 101, No. 2, 383-400 (2022). MSC: 45J05 26A33 34A60 34B15 93B05 47N20 PDFBibTeX XMLCite \textit{A. Boudjerida} et al., Appl. Anal. 101, No. 2, 383--400 (2022; Zbl 1497.45009) Full Text: DOI
Alqahtani, Badr; Abbas, Saïd; Benchohra, Mouffak; N’Guérékata, Gaston M. Impulsive implicit Caputo fractional q-difference equations in finite- and infinite-dimensional Banach spaces. (English) Zbl 1481.39006 N’Guérékata, Gaston M. (ed.) et al., Studies in evolution equations and related topics. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 187-209 (2021). MSC: 39A13 39A12 26A33 34A37 PDFBibTeX XMLCite \textit{B. Alqahtani} et al., in: Studies in evolution equations and related topics. Cham: Springer. 187--209 (2021; Zbl 1481.39006) Full Text: DOI
Salim, Abdelkrim; Benchohra, Mouffak; Lazreg, Jamal Eddine; N’Guérékata, Gaston Boundary value problem for nonlinear implicit generalized Hilfer-type fractional differential equations with impulses. (English) Zbl 1482.34191 Abstr. Appl. Anal. 2021, Article ID 5592010, 17 p. (2021). MSC: 34K37 34K20 26A33 PDFBibTeX XMLCite \textit{A. Salim} et al., Abstr. Appl. Anal. 2021, Article ID 5592010, 17 p. (2021; Zbl 1482.34191) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; N’Guerekata, Gaston M.; Zhou, Yong Coupled Pettis Hadamard fractional differential systems with retardation and anticipation. (English) Zbl 1470.34212 Surv. Math. Appl. 16, 95-109 (2021). MSC: 34K37 47H10 54D30 PDFBibTeX XMLCite \textit{S. Abbas} et al., Surv. Math. Appl. 16, 95--109 (2021; Zbl 1470.34212) Full Text: Link
Norouzi, Fatemeh; N’guérékata, Gaston M. Existence results to a \(\psi\)-Hilfer neutral fractional evolution equation with infinite delay. (English) Zbl 1476.34163 Nonauton. Dyn. Syst. 8, 101-124 (2021). MSC: 34K37 34K30 47N20 34K40 PDFBibTeX XMLCite \textit{F. Norouzi} and \textit{G. M. N'guérékata}, Nonauton. Dyn. Syst. 8, 101--124 (2021; Zbl 1476.34163) Full Text: DOI
Bachir, Fatima Si; Abbas, Saïd; Benbachir, Maamar; Benchohra, Mouffak; N’Guérékata, Gaston M. Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations. (English) Zbl 1468.34006 Cubo 23, No. 1, 145-159 (2021). MSC: 34A08 26A33 47N20 PDFBibTeX XMLCite \textit{F. S. Bachir} et al., Cubo 23, No. 1, 145--159 (2021; Zbl 1468.34006) Full Text: DOI
Tiomela, R. G. Foko; Norouzi, F.; N’guérékata, G. M.; Mophou, G. On the stability and stabilization of some semilinear fractional differential equations in Banach spaces. (English) Zbl 1499.34328 Fract. Differ. Calc. 10, No. 2, 267-290 (2020). MSC: 34G20 34D20 34H15 34A08 26A33 47D06 93D15 PDFBibTeX XMLCite \textit{R. G. F. Tiomela} et al., Fract. Differ. Calc. 10, No. 2, 267--290 (2020; Zbl 1499.34328) Full Text: DOI
Sousa, J. Vanterler da C.; Benchohra, Mouffak; N’Guérékata, Gaston M. Attractivity for differential equations of fractional order and \(\psi\)-Hilfer type. (English) Zbl 1488.34065 Fract. Calc. Appl. Anal. 23, No. 4, 1188-1207 (2020). MSC: 34A08 26A33 47N20 34D05 PDFBibTeX XMLCite \textit{J. V. da C. Sousa} et al., Fract. Calc. Appl. Anal. 23, No. 4, 1188--1207 (2020; Zbl 1488.34065) Full Text: DOI
Wang, Chu-Hang; Ding, Hui-Sheng; N’Guérékata, Gaston M. Existence of positive solutions for a nonlinear quadratic integral equation. (English) Zbl 1476.45006 Electron. J. Differ. Equ. 2019, Paper No. 79, 11 p. (2019). Reviewer: Mohamed Abdalla Darwish (Damanhour) MSC: 45G10 45M20 34K37 PDFBibTeX XMLCite \textit{C.-H. Wang} et al., Electron. J. Differ. Equ. 2019, Paper No. 79, 11 p. (2019; Zbl 1476.45006) Full Text: Link
Abbas, Saïd; Benchohra, Mouffak; Lazreg, Jamal E.; N’Guérékata, Gaston M. Coupled systems of Hilfer fractional differential equations with maxima. (English) Zbl 1421.34051 J. Nonlinear Evol. Equ. Appl. 2018, 11-24 (2018). MSC: 34K37 34K30 47N20 PDFBibTeX XMLCite \textit{S. Abbas} et al., J. Nonlinear Evol. Equ. Appl. 2018, 11--24 (2018; Zbl 1421.34051) Full Text: Link
Oueama-Guengai, Enock R.; N’Guérékata, Gaston M. N. \(S\)-asymptotically \(\omega\)-periodic mild solutions to some fractional integro-differential equations with infinite delay. (English) Zbl 1417.34193 Lib. Math. (N.S.) 38, No. 2, 111-124 (2018). MSC: 34K37 34K13 34K30 PDFBibTeX XMLCite \textit{E. R. Oueama-Guengai} and \textit{G. M. N. N'Guérékata}, Lib. Math. (N.S.) 38, No. 2, 111--124 (2018; Zbl 1417.34193)
Abbas, Saïd; Benchohra, Mouffak; Lazreg, Jamal Eddine; N’Guérékata, Gaston Weak solutions for implicit Pettis-Hadamard fractional differential equations with retarded and advanced arguments. (English) Zbl 1372.34121 Nonlinear Stud. 24, No. 2, 355-365 (2017). MSC: 34K37 34K30 34K32 47N20 PDFBibTeX XMLCite \textit{S. Abbas} et al., Nonlinear Stud. 24, No. 2, 355--365 (2017; Zbl 1372.34121) Full Text: Link
Abbas, Saïd; Albarakati, Wafaa; Benchohra, Mouffak; N’Guerekata, Gaston M. Existence and Ulam stabilities for Hadamard fractional integral equations in Fréchet spaces. (English) Zbl 1499.45033 J. Fract. Calc. Appl. 7, No. 2, 1-12 (2016). MSC: 45M10 47N20 26A33 PDFBibTeX XMLCite \textit{S. Abbas} et al., J. Fract. Calc. Appl. 7, No. 2, 1--12 (2016; Zbl 1499.45033) Full Text: Link
Benchohra, Mouffak; Lazreg, Jamal-Eddine; N’Guérékata, Gaston Nonlinear implicit Hadamard’s fractional differential equations on Banach space with retarded and advanced arguments. (English) Zbl 1499.34402 Int. J. Evol. Equ. 10, No. 3-4, 283-295 (2015). MSC: 34K37 34K30 34K32 47N20 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Int. J. Evol. Equ. 10, No. 3--4, 283--295 (2015; Zbl 1499.34402)
Al-Khaled, Kamel; Alquran, Marwan; Al-Saidi, Amal; NGuerekata, Gaston; Chattopadhyay, Joydev Numerical methods for solving nonlinear fractional integro-differential equations. (English) Zbl 1333.93047 Nonlinear Stud. 22, No. 4, 647-657 (2015). MSC: 93B05 34K30 26A33 35R10 47D06 PDFBibTeX XMLCite \textit{K. Al-Khaled} et al., Nonlinear Stud. 22, No. 4, 647--657 (2015; Zbl 1333.93047) Full Text: Link
Abbas, Said; Benchohra, Mouffak; N’Guerekata, Gaston Mandata Advanced fractional differential and integral equations. (English) Zbl 1314.34002 New York, NY: Nova Science Publishers (ISBN 978-1-63463-109-9). xxvi, 362 p. (2015). MSC: 34-02 34K37 45-02 45N05 26A33 PDFBibTeX XMLCite \textit{S. Abbas} et al., Advanced fractional differential and integral equations. New York, NY: Nova Science Publishers (2015; Zbl 1314.34002)
Rana, Sourav; Bhattacharya, Sabyasachi; Pal, Joydeep; N’Guérékata, Gaston M.; Chattopadhyay, Joydev Paradox of enrichment: a fractional differential approach with memory. (English) Zbl 1395.92185 Physica A 392, No. 17, 3610-3621 (2013). MSC: 92D40 26A33 34A08 PDFBibTeX XMLCite \textit{S. Rana} et al., Physica A 392, No. 17, 3610--3621 (2013; Zbl 1395.92185) Full Text: DOI Link
Benchohra, Mouffak; Litimein, Sara; N’Guérékata, Gaston On fractional integro-differential inclusions with state-dependent delay in Banach spaces. (English) Zbl 1269.34083 Appl. Anal. 92, No. 2, 335-350 (2013). Reviewer: Claudio Cuevas (Pernambuco) MSC: 34K37 34K30 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Appl. Anal. 92, No. 2, 335--350 (2013; Zbl 1269.34083) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; N’Guérékata, Gaston M. Asymptotic stability in nonlinear delay differential equations of fractional order. (English) Zbl 1499.34399 J. Nonlinear Evol. Equ. Appl. 2012, 85-96 (2012). MSC: 34K37 34K20 47N20 PDFBibTeX XMLCite \textit{S. Abbas} et al., J. Nonlinear Evol. Equ. Appl. 2012, 85--96 (2012; Zbl 1499.34399) Full Text: Link
N’Guérékata, Gaston M. A note on fractional calculus and some applications. (English) Zbl 1385.34012 Toni, Bourama (ed.) et al., Bridging mathematics, statistics, engineering and technology. Contributions from the fall 2011 seminar on mathematical sciences and applications, Virginia State University, Petersburg, VA, USA, 2011. Berlin: Springer (ISBN 978-1-4614-4558-6/hbk; 978-1-4614-4559-3/ebook). Springer Proceedings in Mathematics & Statistics 24, 9-16 (2012). MSC: 34A08 47D06 34G10 45M05 26A33 34A12 PDFBibTeX XMLCite \textit{G. M. N'Guérékata}, Springer Proc. Math. Stat. 24, 9--16 (2012; Zbl 1385.34012) Full Text: DOI
Mophou, Gisèle. M.; N’Guérékata, Gaston M. On a class of fractional differential equations in a Sobolev space. (English) Zbl 1237.49007 Appl. Anal. 91, No. 1-2, 15-34 (2012). MSC: 49J20 49K20 35Q93 49J27 26A33 PDFBibTeX XMLCite \textit{Gisèle. M. Mophou} and \textit{G. M. N'Guérékata}, Appl. Anal. 91, No. 1--2, 15--34 (2012; Zbl 1237.49007) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; N’Guérékata, Gaston M.; Slimani, Boualem Attou Darboux problem for fractional-order discontinuous hyperbolic partial differential equations in Banach algebras. (English) Zbl 1235.26006 Complex Var. Elliptic Equ. 57, No. 2-4, 337-350 (2012). MSC: 26A33 PDFBibTeX XMLCite \textit{S. Abbas} et al., Complex Var. Elliptic Equ. 57, No. 2--4, 337--350 (2012; Zbl 1235.26006) Full Text: DOI
Mophou, Gisèle M.; N’Guérékata, Gaston M. Controllability of semilinear neutral fractional functional evolution equations with infinite delay. (English) Zbl 1236.34105 Nonlinear Stud. 18, No. 2, 195-209 (2011). Reviewer: Abdelghani Ouahab (Sidi Bel Abbes) MSC: 34K37 34K35 34K40 34K30 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'Guérékata}, Nonlinear Stud. 18, No. 2, 195--209 (2011; Zbl 1236.34105)
N’Guérékata, Gaston M. Remarks on the paper: Existence of mild solutions of some neutral fractional functional evolution equations with infinite delay, Appl. Math. Computation, 216 (2010), 61-69. (English) Zbl 1260.34147 Int. J. Evol. Equ. 5, No. 3, 227-229 (2010). MSC: 34K37 34K40 34K30 PDFBibTeX XMLCite \textit{G. M. N'Guérékata}, Int. J. Evol. Equ. 5, No. 3, 227--229 (2010; Zbl 1260.34147)
Mophou, Gisèle M.; N’Guerekata, Gaston M.; Valmorin, Vincent Corrigendum to: “Pseudo almost automorphic solutions of a neutral functional fractional differential equations”. (English) Zbl 1226.34076 Int. J. Evol. Equ. 5, No. 2, 223-225 (2010). MSC: 34K37 34K05 34K30 34A60 34K40 PDFBibTeX XMLCite \textit{G. M. Mophou} et al., Int. J. Evol. Equ. 5, No. 2, 223--225 (2010; Zbl 1226.34076)
Benchohra, Mouffak; N’Guérékata, Gaston M.; Seba, Djamila Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order. (English) Zbl 1219.34100 Cubo 12, No. 3, 35-48 (2010). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34K37 34K30 47J20 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Cubo 12, No. 3, 35--48 (2010; Zbl 1219.34100) Full Text: DOI
Mophou, Gisèle M.; N’Guérékata, Gaston M.; Valmorin, Vincent Pseudo almost automorphic solutions of a neutral functional fractional differential equations. (English) Zbl 1208.34118 Int. J. Evol. Equ. 4, No. 2, 249-259 (2010). MSC: 34K37 34K05 34K30 34K40 43A60 PDFBibTeX XMLCite \textit{G. M. Mophou} et al., Int. J. Evol. Equ. 4, No. 2, 249--259 (2010; Zbl 1208.34118)
Li, Fang; N’guérékata, Gaston M. Existence and uniqueness of mild solution for fractional integrodifferential equations. (English) Zbl 1198.45015 Adv. Difference Equ. 2010, Article ID 158789, 10 p. (2010). MSC: 45N05 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{F. Li} and \textit{G. M. N'guérékata}, Adv. Difference Equ. 2010, Article ID 158789, 10 p. (2010; Zbl 1198.45015) Full Text: DOI
Mophou, G. M.; N’guérékata, G. M. On some classes of almost automorphic functions and applications to fractional differential equations. (English) Zbl 1189.34142 Comput. Math. Appl. 59, No. 3, 1310-1317 (2010). MSC: 34K14 26A33 34K30 34K37 45J05 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'guérékata}, Comput. Math. Appl. 59, No. 3, 1310--1317 (2010; Zbl 1189.34142) Full Text: DOI
Mophou, Gisle M.; N’Guérékata, Gaston M. A note on a semilinear fractional differential equation of neutral type with infinite delay. (English) Zbl 1194.34148 Adv. Difference Equ. 2010, Article ID 674630, 8 p. (2010). MSC: 34K37 34K30 34K40 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'Guérékata}, Adv. Difference Equ. 2010, Article ID 674630, 8 p. (2010; Zbl 1194.34148) Full Text: DOI
Mophou, G. M.; N’guérékata, G. M. Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay. (English) Zbl 1191.34098 Appl. Math. Comput. 216, No. 1, 61-69 (2010). MSC: 34K37 34K40 34K30 47N20 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'guérékata}, Appl. Math. Comput. 216, No. 1, 61--69 (2010; Zbl 1191.34098) Full Text: DOI
N’guérékata, Gaston M. Corrigendum: a Cauchy problem for some fractional differential equations. (English) Zbl 1171.34332 Commun. Math. Anal. 7, No. 1, 11-11 (2009). MSC: 34G20 34A12 26A33 PDFBibTeX XMLCite \textit{G. M. N'guérékata}, Commun. Math. Anal. 7, No. 1, 11--11 (2009; Zbl 1171.34332)
Mophou, Gisele M.; N’Guerekata, Gaston M. Mild solutions for semilinear fractional differential equations. (English) Zbl 1179.34002 Electron. J. Differ. Equ. 2009, Paper No. 21, 9 p. (2009). Reviewer: Chuanzhi Bai (Huaian) MSC: 34A08 26A33 34G20 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'Guerekata}, Electron. J. Differ. Equ. 2009, Paper No. 21, 9 p. (2009; Zbl 1179.34002) Full Text: EuDML EMIS
Anguraj, A.; Karthikeyan, P.; N’Guérékata, G. M Nonlocal Cauchy problem for some fractional abstract integro-differential equations in Banach spaces. (English) Zbl 1167.34387 Commun. Math. Anal. 6, No. 1, 31-35 (2009). MSC: 34K30 34A12 26A33 45J05 47N20 PDFBibTeX XMLCite \textit{A. Anguraj} et al., Commun. Math. Anal. 6, No. 1, 31--35 (2009; Zbl 1167.34387)
N’Guérékata, Gaston M. A Cauchy problem for some fractional abstract differential equation with non local conditions. (English) Zbl 1166.34320 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 1873-1876 (2009). Reviewer: Li Changpin (Logan) MSC: 34G20 34A12 26A33 PDFBibTeX XMLCite \textit{G. M. N'Guérékata}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 1873--1876 (2009; Zbl 1166.34320) Full Text: DOI