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Theory and Modern Applications

Table 4 Numerical data corresponding to Fig. 2

From: Existence results for infinite systems of the Hilfer fractional boundary value problems in Banach sequence spaces

A,B

Growth of z

Decrement of \(E_{A,B}(-z)\)

A: = α,B: = A + 0.5(2 − A)

(a),z→103

\(E_{A,B}(-z)\rightarrow 4\times 10^{-3}\)

A: = α,B: = A + 0.5(2 − A)

(b),z→104

\(E_{A,B}(-z)\rightarrow 4\times 10^{-4}\)

A: = α,B: = A + 0.5(2 − A)

(c),z→105

\(E_{A,B}(-z)\rightarrow 4\times 10^{-5}\)

A: = α,B: = A + 0.5(2 − A)

(d),z→106

\(E_{A,B}(-z)\rightarrow 4\times 10^{-6}\)