Found 86 Documents (Results 1–86)
Well-posedness and dependence on the initial value of the time-fractional Navier-Stokes equations on the Heisenberg group. (English) Zbl 07864134
Basic theory of fractional differential equations. 3rd edition. (English) Zbl 1530.34004
Singapore: World Scientific (ISBN 978-981-12-7168-7/hbk; 978-981-12-7170-0/ebook). xiii, 501 p. (2024).
Well-posedness of mild solutions for the fractional Navier-Stokes equations in Besov spaces. (English) Zbl 1525.35196
Fractional differential equations. A coincidence degree approach. (English) Zbl 1536.34001
Fractional Calculus in Applied Sciences and Engineering 12. Berlin: De Gruyter (ISBN 978-3-11-133434-9/hbk; 978-3-11-133438-7/ebook). xi, 322 p. (2024).
Reviewer: Vasile Lupulescu (Târgu Jiu)
Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. (English) Zbl 1535.35189
On \(k\)-generalized \(\psi\)-Hilfer impulsive boundary value problem with retarded and advanced arguments in Banach spaces. (English) Zbl 1529.34008
Infinite interval problems for Hilfer fractional evolution equations with almost sectorial operators. (English) Zbl 1519.34071
Reviewer: Hristo S. Kiskinov (Plovdiv)
A Cauchy problem for fractional evolution equations with Hilfer’s fractional derivative on semi-infinite interval. (English) Zbl 1503.34038
On a problem for the nonlinear diffusion equation with conformable time derivative. (English) Zbl 1500.35291
On the periodic solutions for nonlinear Volterra-Fredholm integro-differential equations with \(\psi\)-Hilfer fractional derivative. (English) Zbl 1524.45033
Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem. (English) Zbl 1503.35278
The analysis of approximate controllability for distributed order fractional diffusion problems. (English) Zbl 1503.35272
The well-posedness analysis of distributed order fractional diffusion problems on \(\mathbb{R}^N\). (English) Zbl 1489.35304
On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on \(\mathbb{R}^N\). (English) Zbl 1503.35163
Bounded weak solutions for implicit Hadamard fractional differential equations on reflexive Banach spaces. (English) Zbl 1524.34009
Well-posedness and ill-posedness results for backward problem for fractional pseudo-parabolic equation. (English) Zbl 1490.35214
On the initial value problem for the nonlinear fractional Rayleigh-Stokes equation. (English) Zbl 1477.35174
New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\). (English) Zbl 1481.34081
Existence and regularity of inverse problem for the nonlinear fractional Rayleigh-Stokes equations. (English) Zbl 1472.35448
The nonlinear Rayleigh-Stokes problem with Riemann-Liouville fractional derivative. (English) Zbl 1475.35297
Stability analysis for discrete time abstract fractional differential equations. (English) Zbl 1488.39059
Existence and regularity results for terminal value problem for nonlinear fractional wave equations. (English) Zbl 1460.35368
Regularization of a terminal value nonlinear diffusion equation with conformable time derivative. (English) Zbl 1460.35385
Numerical analysis for Klein-Gordon equation with time-space fractional derivatives. (English) Zbl 1447.65040
Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative. (English) Zbl 1449.35450
Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative. (English) Zbl 1439.35547
Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. (English) Zbl 1435.65170
Existence and Ulam stability for implicit fractional \(q\)-difference equations. (English) Zbl 1487.39006
Representation of solution for a linear fractional delay differential equation of Hadamard type. (English) Zbl 1485.34199
Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives. (English) Zbl 1499.26077
Approximate controllability of impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces. (English) Zbl 1475.93019
Controllability of fractional non-instantaneous impulsive differential inclusions without compactness. (English) Zbl 1475.93018
Oscillation and nonoscillation for Caputo-Hadamard impulsive fractional differential inclusions. (English) Zbl 1458.34133
Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies. (English) Zbl 1448.34003
Existence of solutions for fractional difference equations via topological degree methods. (English) Zbl 1446.39008
Controllability for noninstantaneous impulsive semilinear functional differential inclusions without compactness. (English) Zbl 1401.26018
Reviewer: Samir Bashir Hadid (Ajman)
Iterative learning control with pulse compensation for fractional differential systems. (English) Zbl 1441.93116
Variational methods for Kirchhoff type problems with tempered fractional derivative. (English) Zbl 1432.34013
Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type. (English) Zbl 1444.34090
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations. (English) Zbl 1444.34089
A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces. (English) Zbl 1444.34017
Topological properties of solution sets of fractional stochastic evolution inclusions. (English) Zbl 1422.34184
Stability results for partial fractional differential equations with noninstantaneous impulses. (English) Zbl 1422.35159
Weak solutions for partial Pettis Hadamard fractional integral equations with random effects. (English) Zbl 1384.45004
Reviewer: Deshna Loonker (Jodhpur)
A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability. (English) Zbl 1374.34004
Homoclinic orbits for a class of fractional Hamiltonian systems via variational methods. (English) Zbl 1380.37121
Basic theory of fractional differential equations. 2nd edition. (English) Zbl 1360.34003
Hackensack, NJ: World Scientific (ISBN 978-981-3148-16-1/hbk; 978-981-3148-18-5/ebook). xii, 367 p. (2017).
Reviewer: Neville Ford (Chester)
Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals via \(s\)-convex functions and applications to special means. (English) Zbl 1474.26148
Existence and uniqueness results for a nonlocal \(q\)-fractional integral boundary value problem of sequential orders. (English) Zbl 1342.45008
Reviewer: Pavel Rehak (Brno)
Fractional evolution equations and inclusions. Analysis and control. (English) Zbl 1343.34001
Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-804277-9/hbk). x, 283 p. (2016).
Reviewer: Christopher Goodrich (Omaha)
On the nonlocal Cauchy problem for semilinear fractional order evolution equations. (English) Zbl 1296.26035
Basic theory of fractional differential equations. (English) Zbl 1336.34001
Hackensack, NJ: World Scientific (ISBN 978-981-4579-89-6/hbk; 978-981-4579-91-9/ebook). x, 293 p. (2014).
Reviewer: Syed Abbas (Mandi)
Study on a quadratic Hadamard type fractional integral equation on an unbounded interval. (English) Zbl 1292.26026
Hermite-Hadamard-type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity. (English) Zbl 1285.26013
New generalized Hermite-Hadamard type inequalities and applications to special means. (English) Zbl 1285.26014
Extremal solutions of Cauchy problems for abstract fractional differential equations. (English) Zbl 1340.34211
Cauchy problems for fractional differential equations via Picard and weakly Picard operators technique. (English) Zbl 1281.26006
Solvability of boundary value problems with integral conditions for fractional differential equations. (English) Zbl 1280.26015
Existence and stability of fractional differential equations with Hadamard derivative. (English) Zbl 1382.34012
A reproducing kernel Hilbert space method for solving integro-differential equations of fractional order. (English) Zbl 1273.65194
Reviewer: Ivan Secrieru (Chişinău)
Relative controllability of fractional dynamical systems with delays in control. (English) Zbl 1248.93022
Existence, attractiveness and stability of solutions for quadratic Urysohn fractional integral equations. (English) Zbl 1257.45004
Reviewer: Martin Väth (Berlin)
Study in fractional differential equations by means of topological degree methods. (English) Zbl 1242.34012
Reviewer: Zhenhai Liu (Nanning)
Fractional finite time delay evolution systems and optimal controls in infinite-dimensional spaces. (English) Zbl 1241.26005
Impulsive problems for fractional evolution equations and optimal controls in infinite dimensional spaces. (English) Zbl 1237.26008
On nonlocal problems for fractional differential equations in Banach spaces. (English) Zbl 1228.26012
A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. (English) Zbl 1223.45007
Reviewer: Rodica Luca Tudorache (Iaşi)
Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations. (English) Zbl 1189.34014
Existence and uniqueness for fractional neutral differential equations with infinite delay. (English) Zbl 1177.34084
Existence and uniqueness for \(p\)-type fractional neutral differential equations. (English) Zbl 1175.34082
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