Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic
44.###Euphorbiaceae###Ricinus communis L.###Arund###Shrub###BS###L,S,SD###Antipyretic, anti-hepatitis, anti-diabetic, antiperiodic
, vermifuge, and
 studied the existence and uniqueness of antiperiodic
mild solution to (2).
boundary conditions in [x.sup.-] render the [k.sup.+] momenta discrete as well as limiting the size of the Fock basis.
Cui, "Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic
boundary conditions," Boundary Value Problems, vol.
The class of problems considered include those with antiperiodic
, Dirichlet, and periodic boundary conditions.
Mostly used by modern herbalists as a tonic, antiperiodic
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The analysis of the models is similar to the analysis in the four-dimensional case, where we define the GGSO projections in a similar way to (5), with the [[delta].sub.S] index being +1 in sectors in which the left-moving world-sheet fermions are antiperiodic
and _1 in sectors in which they are periodic.
When [[alpha].sub.i] = -[[beta].sub.i] = 1 (i = 1, 2), conditions (1.2) are called periodic and when [[alpha].sub.i] = [[beta].sub.i] = 1 they are called antiperiodic
. For the spectral theory of periodic second-order differential equations, we refer the reader to [12, 17].
Zhang, "On antiperiodic
solutions for Cohen-Grossberg shunting inhibitory neural networks with time-varying delays and impulses," Neural Computation, vol.
Nieto, "Existence of solutions for antiperiodic
boundary value problems involving fractional differential equations via Leray-Schauder degree theory," Topological Methods in Nonlinear Analysis, vol.