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26A33 Fractional derivatives and integrals (52 articles)

• Zeng, Yikun; Wei, Yiheng; Zhou, Shuaiyu; Yue, Dongdong: Distributed optimization via active disturbance rejection control: A nabla fractional design. (English). Kybernetika, vol. 60 (2024), issue 1, pp. 90-109
• Dilna, Natalia: General exact solvability conditions for the initial value problems for linear fractional functional differential equations. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 11-19
• Cuesta, Carlota Maria; Diez-Izagirre, Xuban: Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 4, pp. 1057-1080
• Alzabut, Jehad; Grace, Said Rezk; Selvam, A. George Maria; Janagaraj, Rajendran: Nonoscillatory solutions of discrete fractional order equations with positive and negative terms. (English). Mathematica Bohemica, vol. 148 (2023), issue 4, pp. 461-479
• Tomášek, Petr: On Euler methods for Caputo fractional differential equations. (English). Archivum Mathematicum, vol. 59 (2023), issue 3, pp. 287-294
• Srivastava, Satyam Narayan; Domoshnitsky, Alexander; Padhi, Seshadev; Raichik, Vladimir: Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 117-123
• Kloud, Vojtěch: Rozšíření derivace pomocí teorie stability. (Czech) [Extension of the Derivative Using Stability Theory]. Pokroky matematiky, fyziky a astronomie, vol. 67 (2022), issue 3, pp. 133-148
• Hammou, Amouria; Hamani, Samira; Henderson, Johnny: Boundary value problems for Caputo-Hadamard fractional differential inclusions in Banach spaces. (English). Archivum Mathematicum, vol. 58 (2022), issue 4, pp. 227-240
• Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Moradi, Shahin: Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods. (English). Mathematica Bohemica, vol. 147 (2022), issue 1, pp. 95-112
• Zahed, Ahmed; Hamani, Samira; Graef, John R.: Boundary value problems for Hadamard-Caputo implicit fractional differential inclusions with nonlocal conditions. (English). Archivum Mathematicum, vol. 57 (2021), issue 5, pp. 285-297
• Derbazi, Choukri; Hammouche, Hadda: Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. (English). Mathematica Bohemica, vol. 146 (2021), issue 3, pp. 363-374
• Abbas, Saïd; Benchohra, Mouffak; Laledj, Nadjet; Zhou, Yong: Fractional ${q}$-difference equations on the half line. (English). Archivum Mathematicum, vol. 56 (2020), issue 4, pp. 207-223
• Bhairat, Sandeep P.; Dhaigude, Dnyanoba-Bhaurao: Existence of solutions of generalized fractional differential equation with nonlocal initial condition. (English). Mathematica Bohemica, vol. 144 (2019), issue 2, pp. 203-220
• Bendouma, Bouharket; Cabada, Alberto; Hammoudi, Ahmed: Existence results for systems of conformable fractional differential equations. (English). Archivum Mathematicum, vol. 55 (2019), issue 2, pp. 69-82
• Nefzi, Walid: Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 1, pp. 257-273
• Bahaa, G. M.: Optimal control problem and maximum principle for fractional order cooperative systems. (English). Kybernetika, vol. 55 (2019), issue 2, pp. 337-358
• Bozkurt, Gülçin; Albayrak, Durmuş; Dernek, Neşe: Theorems on some families of fractional differential equations and their applications. (English). Applications of Mathematics, vol. 64 (2019), issue 5, pp. 557-579
• Chauhan, Astha; Arora, Rajan: Time fractional Kupershmidt equation: symmetry analysis and explicit series solution with convergence analysis. (English). Communications in Mathematics, vol. 27 (2019), issue 2, pp. 171-185
• Idris, Mochammad; Gunawan, Hendra; Eridani, A.: Norm estimates for Bessel-Riesz operators on generalized Morrey spaces. (English). Mathematica Bohemica, vol. 143 (2018), issue 4, pp. 409-417
• Liu, Yuji: Existence of solutions of impulsive boundary value problems for singular fractional differential systems. (English). Mathematica Bohemica, vol. 142 (2017), issue 4, pp. 405-444
• Seba, Djamila: Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces. (English). Mathematica Bohemica, vol. 142 (2017), issue 3, pp. 309-321
• Xia, Zhinan: Pseudo almost periodicity of fractional integro-differential equations with impulsive effects in Banach spaces. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 1, pp. 123-141
• Guerraiche, Nassim; Hamani, Samira; Henderson, Johnny: Initial value problems for fractional functional differential inclusions with Hadamard type derivative. (English). Archivum Mathematicum, vol. 52 (2016), issue 4, pp. 263-273
• Benchohra, Mouffak; Bouriah, Soufyane; Lazreg, Jamal E.; Nieto, Juan J.: Nonlinear Implicit Hadamard’s Fractional Differential Equationswith Delay in Banach Space. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 1, pp. 15-26
• Actis, Marcelo; Aimar, Hugo: Pointwise convergence to the initial data for nonlocal dyadic diffusions. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 1, pp. 193-204
• Goodrich, Christopher S.: Summation equations with sign changing kernels and applications to discrete fractional boundary value problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 2, pp. 201-229
• Kisela, Tomáš: An analysis of the stability boundary for a linear fractional difference system. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 195-203
• Boucenna, A.; Moussaoui, T.: Existence Results for a Fractional Boundary Value Problem via Critical Point Theory. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 1, pp. 47-64
• Chen, Jing; Tang, Xian Hua: Infinitely many solutions for boundary value problems arising from the fractional advection dispersion equation. (English). Applications of Mathematics, vol. 60 (2015), issue 6, pp. 703-724
• Benchohra, Mouffak; Souid, Mohammed Said: Integrable solutions for implicit fractional order functional differential equations with infinite delay. (English). Archivum Mathematicum, vol. 51 (2015), issue 2, pp. 67-76
• Li, Xuezhu; Medveď, Milan; Wang, Jin Rong: Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 2, pp. 85-100
• Zhanmei, Lv; Yanping, Gong; Yi, Chen: Multiplicity and uniqueness for a class of discrete fractional boundary value problems. (English). Applications of Mathematics, vol. 59 (2014), issue 6, pp. 673-695
• Ghasemi, Mehdi; Fardi, Mojtaba; Ghaziani, Reza Khoshsiar: A new application of the homotopy analysis method in solving the fractional Volterra's population system. (English). Applications of Mathematics, vol. 59 (2014), issue 3, pp. 319-330
• Abbas, Saïd; Benchohra, Mouffak; Nieto, Juan J.: Ulam Stabilities for Partial Impulsive Fractional Differential Equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 1, pp. 5-17
• Aissani, Khalida; Benchohra, Mouffak: Semilinear fractional order integro-differential equations with infinite delay in Banach spaces. (English). Archivum Mathematicum, vol. 49 (2013), issue 2, pp. 105-117
• Abbas, Said; Benchohra, Mouffak: A global uniqueness result for fractional order implicit differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 4, pp. 605-614
• Abbas, Saïd; Benchohra, Mouffak: Upper and Lower Solutions Method for Darboux Problem for Fractional Order Implicit Impulsive Partial Hyperbolic Differential Equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 2, pp. 5-18
• Zhao, Xiangkui; Ge, Weigao: Some results for fractional impulsive boundary value problems on infinite intervals. (English). Applications of Mathematics, vol. 56 (2011), issue 4, pp. 371-387
• Čermák, Jan; Kisela, Tomáš: Note on a discretization of a linear fractional differential equation. (English). Mathematica Bohemica, vol. 135 (2010), issue 2, pp. 179-188
• Zhang, Shuqin: Existence of positive solution of a singular partial differential equation. (English). Mathematica Bohemica, vol. 133 (2008), issue 1, pp. 29-40
• Cruz-Uribe, D., SFO; Fiorenza, A.: Weighted endpoint estimates for commutators of fractional integrals. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 153-160
• De Rosa, Liliana: Two weight norm inequalities for fractional one-sided maximal and integral operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 1, pp. 35-46
• Salem, Hussein A. H.; El-Sayed, Ahmed M. A.: Weak solution for fractional order integral equations in reflexive Banach spaces. (English). Mathematica Slovaca, vol. 55 (2005), issue 2, pp. 169-181
• de Rosa, L.; de la Torre, A.: On conditions for the boundedness of the Weyl fractional integral on weighted $L^p$ spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 17-36
• Pradolini, Gladis; Salinas, Oscar: The fractional integral between weighted Orlicz and $BMO_{\phi}$ spaces on spaces of homogeneous type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 3, pp. 469-487
• Hartzstein, Silvia I.; Viviani, Beatriz E.: On the composition of the integral and derivative operators of functional order. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 1, pp. 99-120
• Hartzstein, Silvia I.; Viviani, Beatriz E.: Integral and derivative operators of functional order on generalized Besov and Triebel-Lizorkin spaces in the setting of spaces of homogeneous type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 723-754
• Avetisyan, K. L.: Fractional integro-differentiation in harmonic mixed norm spaces on a half-space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 4, pp. 691-709
• Heinig, Hans P.: Modular inequalities for the Hardy averaging operator. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 231-244
• Harboure, E.; Salinas, O.; Viviani, B.: Relations between weighted Orlicz and $BMO_\phi$ spaces through fractional integrals. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 1, pp. 53-69
• Khan, M. A.: A study of $q$-Laguerre polynomials through the $T_{k,q,x}$-operator. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 619-626
• Kokilashvili, Vakhtang M.; Kufner, Alois: Fractional integrals on spaces of homogeneous type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 511-523