Found 146 Documents (Results 1–100)
Existence and asymptotic behavior of square-mean \(S \)-asymptotically periodic solutions of fractional stochastic evolution equations. (English) Zbl 07856190
Existence of solutions to a nonlinear fractional diffusion equation with exponential growth. (English) Zbl 1537.35379
Compositions of fractional derivatives as Dzhrbashyan-Nersesyan derivative. (Russian. English summary) Zbl 1537.35383
Well-posedness of fractional differential equations with finite delay in complex Banach spaces. (English) Zbl 1542.34059
Exponential decay for fractional Schrödinger parabolic problems. arXiv:2404.16438
Preprint, arXiv:2404.16438 [math.AP] (2024).
Existence result for fractional differential evolution equation in a Hilber space. (English) Zbl 07890986
Problem without initial conditions for equation with fractional derivatives and intermediate asymptotics. (Russian. English summary) Zbl 1520.35162
Quantitative weighted bounds for Littlewood-Paley functions generated by fractional heat semigroups related with Schrödinger operators. (English) Zbl 1517.35249
Degenerate equations with the Dzhrbashyan-Nersesyan derivative in the sectorial case. (English) Zbl 1534.34062
Reviewer: Arzu Ahmadova (Essen)
Existence and asymptotic behavior of square-mean \(S\)-asymptotically periodic solutions for fractional stochastic evolution equation with delay. (English) Zbl 1511.60097
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials. (English) Zbl 1507.42015
On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients. (English) Zbl 1504.35094
On a study of Sobolev-type fractional functional evolution equations. (English) Zbl 1535.34062
Reviewer: Xuping Zhang (Lanzhou)
The associated operator Legendre function and the incomplete Cauchy problem. (English. Russian original) Zbl 1525.47072
Russ. Math. 66, No. 9, 1-10 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 3-13 (2022).
On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation. (English. Russian original) Zbl 1496.35156
Differ. Equ. 58, No. 5, 577-592 (2022); translation from Differ. Uravn. 58, No. 5, 575-590 (2022).
On complex-time heat kernels of fractional Schrödinger operators via Phragmén-Lindelöf principle. (English) Zbl 1494.35089
Strong solution and optimal control problems for a class of fractional linear equations. (English. Russian original) Zbl 1491.49006
J. Math. Sci., New York 260, No. 3, 315-324 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 42-51 (2019).
Well-posedness for some third-order evolution differential equations: a semigroup approach. (English) Zbl 1508.34068
Reviewer: Dariusz Bugajewski (Poznań)
On the behaviour solutions of fractional and partial integro differential heat equations and its numerical solutions. (English) Zbl 1486.35440
The stability of traveling waves for Allen-Cahn equations with fractional Laplacian. (English) Zbl 1484.35109
Mild solutions for a multi-term fractional differential equation via resolvent operators. (English) Zbl 1525.34017
Approximate controllability of fractional order evolution equations with integral impulse conditions. (English) Zbl 1488.93016
Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces. (English) Zbl 1476.34141
Fractional oscillon equations; solvability and connection with classical oscillon equations. (English) Zbl 1483.35024
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness. (English) Zbl 1476.35297
The defect of a Cauchy type problem for linear equations with several Riemann-Liouville derivatives. (English. Russian original) Zbl 1512.34106
Sib. Math. J. 62, No. 5, 925-942 (2021); translation from Sib. Mat. Zh. 62, No. 5, 1143-1162 (2021).
Results on controllability of non-densely characterized neutral fractional delay differential system. (English) Zbl 1469.93009
Some existence results on impulsive differential equations. (English) Zbl 1476.34134
Giri, Debasis (ed.) et al., Proceedings of the sixth international conference on mathematics and computing, ICMC 2020, Gangtok, Sikkim, India, March 18–20, 2020. Singapore: Springer. Adv. Intell. Syst. Comput. 1262, 535-548 (2021).
Existence of \(P\)-mean almost periodic mild solution for fractional stochastic neutral functional differential equation. (English) Zbl 1472.34132
Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator. (English) Zbl 1475.35382
\(S\)-asymptotically periodic solutions for time-space fractional evolution equation. (English) Zbl 1470.34159
Reviewer: Krishnan Balachandran (Coimbatore)
Existence and controllability results of impulsive neutral fractional integro-differential equation with sectorial operator and infinite delay. (English) Zbl 1469.34102
Controllability results for non densely defined impulsive fractional differential equations in abstract space. (English) Zbl 1466.34069
A class of inverse problems for fractional order degenerate evolution equations. (English) Zbl 1460.35372
Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1], \Omega)\). (English) Zbl 1488.65194
Existence uniqueness and stability of mild solutions for semilinear \(\psi\)-Caputo fractional evolution equations. (English) Zbl 1482.34035
Mixed control for linear infinite-dimensional systems of fractional order. (Russian. English summary) Zbl 1471.93148
Regularities of time-fractional derivatives of semigroups related to Schrödinger operators with application to Hardy-Sobolev spaces on Heisenberg groups. (English) Zbl 1508.47097
Inhomogeneous fractional evolutionary equation in the sectorial case. (English. Russian original) Zbl 1450.35265
J. Math. Sci., New York 250, No. 5, 819-829 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 103-112 (2018).
Optimal control problems for linear degenerate fractional equations. (English. Russian original) Zbl 1450.49001
J. Math. Sci., New York 250, No. 5, 788-799 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 72-83 (2018).
Strong solutions of semilinear equations with lower fractional derivatives. (English) Zbl 1451.34013
Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 573-585 (2020).
Distributed order equations in Banach spaces with sectorial operators. (English) Zbl 1494.34132
Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 509-538 (2020).
Integral representation of solutions using Green function for fractional Hardy equations. (English) Zbl 1448.35541
The method of lower and upper solutions for impulsive fractional evolution equations in Banach spaces. (English) Zbl 1441.34081
On inverse problem of reconstructing a heat subdiffusion process with periodic data. (English) Zbl 1488.35625
Random evolution equations with bounded fractional integral-feedback. (English) Zbl 1434.35282
Area, Iván (ed.) et al., Nonlinear analysis and boundary value problems. NABVP 2018, Santiago de Compostela, Spain, September 4–7, 2018. Proceedings of the international conference. Dedicated to Juan J. Nieto on the occasion of his 60th birthday. Cham: Springer. Springer Proc. Math. Stat. 292, 265-288 (2019).
On controllability for a nondensely defined fractional differential equation with a deviated argument. (English) Zbl 1453.34101
Trajectory controllability of the nonlinear systems governed by fractional differential equations. (English) Zbl 1434.34015
Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups. (English) Zbl 1517.35101
Danielli, Donatella (ed.) et al., New developments in the analysis of nonlocal operators. AMS special session, University of St. Thomas, Minneapolis, MN, USA, October 28–30, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 723, 167-189 (2019).
Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under geometric conditions. (English) Zbl 1426.35025
Well-posedness of fractional degenerate differential equations in Banach spaces. (English) Zbl 1426.34008
Reviewer: Pham Viet Hai (Hanoi)
On the study of an initial value problem for a second order differential equation set in a singular cylindrical domain. (English) Zbl 1438.34207
Criterion of the approximate controllability of a class of degenerate distributed systems with the Riemann-Liouville derivative. (Russian) Zbl 1438.93010
Quaternionic closed operators, fractional powers and fractional diffusion processes. (English) Zbl 1458.47001
Operator Theory: Advances and Applications 274. Cham: Birkhäuser (ISBN 978-3-030-16408-9/hbk; 978-3-030-16411-9/pbk; 978-3-030-16409-6/ebook). viii, 322 p. (2019).
Reviewer: Heinrich Hering (Rockenberg)
A Cauchy type problem for a degenerate equation with the Riemann-Liouville derivative in the sectorial case. (English. Russian original) Zbl 1419.34018
Sib. Math. J. 60, No. 2, 359-372 (2019); translation from Sib. Mat. Zh. 60, No. 2, 461-477 (2019).
On an inverse problem of reconstructing a subdiffusion process from nonlocal data. (English) Zbl 1414.35103
On analytical in a sector resolving families of operators for strongly degenerate evolution equations of higher and fractional orders. (English. Russian original) Zbl 1417.34010
J. Math. Sci., New York 236, No. 6, 663-678 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 137, 82-96 (2017).
Subordination principle for space-time fractional evolution equations and some applications. (English) Zbl 1411.35269
Exact controllability of a retarded fractional differential equation with non-instantaneous impulses. (English) Zbl 1411.34110
Translation invariance and related properties of \(\mu\)-pseudo almost automorphic (periodic) functions with application. (English) Zbl 1446.43003
Initial-value problems for linear distributed-order differential equations in Banach spaces. (English) Zbl 1402.34007
Existence of mild solutions for Sobolev-type Hilfer fractional nonautonomous evolution equations with delay. (English) Zbl 1401.34009
Degenerate linear evolution equations with the Riemann-Liouville fractional derivative. (English. Russian original) Zbl 1392.34007
Sib. Math. J. 59, No. 1, 136-146 (2018); translation from Sib. Mat. Zh. 59, No. 1, 171-184 (2018).
Well-posedness of fractional degenerate differential equations with finite delay on vector-valued functional spaces. (English) Zbl 1388.34069
Subordination approach to multi-term time-fractional diffusion-wave equations. (English) Zbl 1524.35674
Kallman-Rota type inequality for discrete evolution families of bounded linear operators. (English) Zbl 1424.47109
Existence of solutions for impulsive fractional evolution equations with periodic boundary condition. (English) Zbl 1422.34216
Existence results of mild solutions for impulsive fractional evolution equations with periodic boundary condition. (English) Zbl 1401.34032
Nonlinear equations with degenerate operator at fractional Caputo derivative. (English) Zbl 1381.34021
Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay. (English) Zbl 1381.34097
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
Uniform semigroup spectral analysis of the discrete, fractional and classical Fokker-Planck equations. (English. French summary) Zbl 1420.47026
Reviewer: Vincenzo Vespri (Firenze)
Identification problem for degenerate evolution equations of fractional order. (English) Zbl 1366.35238
Approximate controllability of a fractional neutral differential system with deviated argument in a Banach space. (English) Zbl 1357.93011
Degenerate fractional differential equations in locally convex spaces with a \(\sigma \)-regular pair of operators. (Russian. English summary) Zbl 1463.34248
Ufim. Mat. Zh. 8, No. 4, 100-113 (2016); translation in Ufa Math. J. 8, No. 4, 98-110 (2016).
Resolving operators of a linear degenerate evolution equation with Caputo derivative. The sectorial case. (Russian. English summary) Zbl 1399.34024
Analytic in a sector resolving families of operators for degenerate evolution fractional equations. (Russian, English) Zbl 1399.34012
Sib. Zh. Chist. Prikl. Mat. 16, No. 2, 93-107 (2016); translation in J. Math. Sci., New York 228, No. 4, 380-394 (2018).
Sobolev type fractional integro-differential systems with nonlocal condition through resolvent operators. (English) Zbl 1348.34130
Approximation of solutions to fractional integro-differential equations with finite delay. (English) Zbl 1338.34146
Agrawal, P. N. (ed.) et al., Mathematical analysis and its applications. Proceedings of the international conference on recent trends in mathematical analyis and its applications, ICRTMAA 2014, Roorkee, India, December 21–23, 2014. New Delhi: Springer (ISBN 978-81-322-2484-6/hbk; 978-81-322-2485-3/ebook). Springer Proceedings in Mathematics & Statistics 143, 677-700 (2015).
Existence of a mild solution for impulsive neutral fractional differential equations with nonlocal conditions. (English) Zbl 1338.34145
Agrawal, P. N. (ed.) et al., Mathematical analysis and its applications. Proceedings of the international conference on recent trends in mathematical analyis and its applications, ICRTMAA 2014, Roorkee, India, December 21–23, 2014. New Delhi: Springer (ISBN 978-81-322-2484-6/hbk; 978-81-322-2485-3/ebook). Springer Proceedings in Mathematics & Statistics 143, 319-333 (2015).
Approximation of solutions of a stochastic differential equation. (English) Zbl 1338.34147
Agrawal, P. N. (ed.) et al., Mathematical analysis and its applications. Proceedings of the international conference on recent trends in mathematical analyis and its applications, ICRTMAA 2014, Roorkee, India, December 21–23, 2014. New Delhi: Springer (ISBN 978-81-322-2484-6/hbk; 978-81-322-2485-3/ebook). Springer Proceedings in Mathematics & Statistics 143, 51-62 (2015).
Numerical methods for solving nonlinear fractional integro-differential equations. (English) Zbl 1333.93047
A class of abstract fractional relaxation equations. (English) Zbl 1330.34022
Reviewer: Samir Bashir Hadid (Ajman)
A subordination principle on Wright functions and regularized resolvent families. (English) Zbl 1354.47028
Reviewer: René L. Schilling (Dresden)
Resolving operators of degenerate evolution equations with fractional derivative with respect to time. (English. Russian original) Zbl 1323.47048
Russ. Math. 59, No. 1, 60-70 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 1, 71-83 (2015).
Reviewer: Ahmed M. A. El-Sayed (Alexandria)
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