Abstract
In this article, fractional integro-differential inequalities with singular coefficients have been considered. The bounds obtained for investigating the behavior of the solution of a class of singular nonlinear fractional differential equations has been used, some applications are provided.
Highlights
Many physical and chemical phenomena can be modeled with fractional differential equations
If u Î L1(0, T) is a local solution of (34) that has a summable fractional derivative Da u(t), this solution exists for all t Î (0, T1)
If u Î L1(0, 2) is a local solution with a summable fractional derivative D0.7 u (t), this solution exists for all t Î (0, 1.02638)
Summary
Many physical and chemical phenomena can be modeled with fractional differential equations. Let v, f, g and k be non-negative continuous functions on [a, b]. Let gj(u), j = 1, 2, ..., n, be non-decreasing continuous functions on [0, ∞), with gj(0) = 0, gj(u) > 0 for u > 0, and g1 ∝ g2 ∝...
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