Stability and oscillation are two significant properties in the research of differential equation, so it is necessary to study the connection between them.
Furthermore, fractional differential equation, as a branch of fractional calculus, has been a hot area of research of differential equation with not only numerous theoretical developments, but also countless applications to practical problems.
But we notice that most of these developed Gronwall-type inequalities are aimed for the research of differential equations of integer order, while less results are concerned with research of fractional differential equations.
Decades of research on differential expression in tumor and normal samples has led to thousands of publications.
The body of research on differential monotherapy or polypharmacy among atypical agents is sparse [ 8, 26- 30].
In addition, the paper reflects recent therapeutic geographies research on differential experiences of health and wellbeing linked to such immersions.
Future research on differential reporting of outpatient adverse drug events in administrative data would be useful to gain a better understanding of those events for which administrative data may have a greater sensitivity [ 38].
We call the equation a strong force condition if α ≥ 1 and we call it a weak force condition if 0 < α < 1. Taliaferro's work has attracted the attention of many specialists in differential equations and they have contributed to the research of singular differential equations (see, e.g., [2 10]).
Consequently, the research of fractional differential equations with p-Laplacian operator BVP has already become a focus in recent years, and it has developed very rapidly (e.g. [26, 27]).
Assume that 0 < α < n, 1 < s ′ < n α, 1/p1 + 1/p2 - α/n, 1/q = 1/p1 + 1/p2 - α/n, and that s < min{p1, p2}, then for 1 ≤ p1, p2 ≤ ∞, we have B α, Ω 0 f 1, f 2 L q ≤ C f 1 L p 1 f 2 L p 2. For the research of partial differential equation, mathematicians pay much attention to the singular integral (or fractional integral) with a variable kernel Ω x, y), see [5, 6] for more details.
Our study, however, forms the basis for further broad-based research of the differential interaction of the fully human 27.B1 and 27.F7 autoantibodies with GIPC1 antigen in different malignant and benign tumors, which will likely be useful for research and diagnostics.
