Existence results for some fractional differential equations related to A ∈ B(L2[a, b])
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DOI: 10.2298/fil2004067b
Abstract: In this paper we define the (generalized) linear Volterra integral operator on L2[a, b]. Then the problem of existence and uniqueness of solutions of the second kind Volterra integral equations, corresponding to this operator, will… read more here.
Keywords: fractional differential; equations related; differential equations; results fractional ... See more keywords
Nonlinear Wave Equations Related to Nonextensive Thermostatistics
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DOI: 10.3390/e19020060
Abstract: We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive S q entropies. Our present contribution is in line with recent developments, where nonlinear extensions inspired on the… read more here.
Keywords: related nonextensive; nonextensive thermostatistics; equations related; equation ... See more keywords
On Diophantine Equations Related to Order of Appearance in Fibonacci Sequence
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DOI: 10.3390/math7111073
Abstract: Let F n be the nth Fibonacci number. Order of appearance z ( n ) of a natural number n is defined as smallest natural number k, such that n divides F k . In… read more here.
Keywords: fibonacci; order; equations related; order appearance ... See more keywords
On Diophantine Equations Related to Narayana's Cows Sequence and Double Factorials or Repdigits
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DOI: 10.3390/sym14102004
Abstract: In this paper, we determine all the Narayana’s cows numbers that are factorials or double factorials. We also show that 88 is the only repdigit (i.e., a class of numbers that has reflectional symmetry across… read more here.
Keywords: related narayana; cows sequence; diophantine equations; narayana cows ... See more keywords