On the Equivalence between Differential and Integral Forms of Caputo-Type Fractional Problems on Hölder Spaces
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DOI: 10.3390/math12172631
Abstract: As claimed in many papers, the equivalence between the Caputo-type fractional differential problem and the corresponding integral forms may fail outside the spaces of absolutely continuous functions, even in Hölder spaces. To avoid such an… read more here.
Keywords: caputo type; fractional differential; type fractional; equivalence differential ... See more keywords
Equivalence Between Fractional Differential Problems and Their Corresponding Integral Forms with the Pettis Integral
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DOI: 10.3390/math12233642
Abstract: The problem of equivalence between differential and integral problems is absolutely crucial when applying solution methods based on operators and their properties in function spaces. In this paper, we complement the solution of this important… read more here.
Keywords: differential integral; fractional order; problem; equivalence differential ... See more keywords