2007 · 177 citations · 3 references
Natural SciencesMathematicsCost-utility AnalysisDerivativesDifferential EquationsBoundary-value ProblemsInequalityInitial Value ProblemsFractional Differential EquationsGlobal Existence TheoryOperator Inequalities
ABSTRACT. In this paper, we develop the theory of fractional dierential inequalities involving Riemann-Loiuville dierential operators of order 0 < q < 1, use it for the existence of extremal solutions and global existence. Necessary tools are discussed and the comparison principle is proved which will be useful for further study of qualitative behavior of solutions.
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A fractional calculus approach to self-similar protein dynamics
W. Glöckle, T. F. Nonnenmacher · Biophysical Journal · 1995 · 755 citations · Full text