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Theory and Modern Applications

Table 3 Numerical data corresponding to Fig. 1

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

A,B

Growth of z

Growth of \(E_{A,B}(z)\)

A: = α,B: = A + 0.5(2 − A)

(a),z→100

\(E_{A,B}(z)\rightarrow 2\times 10^{11}\)

A: = α,B: = A + 0.5(2 − A)

(b),z→200

\(E_{A,B}(z)\rightarrow 4\times 10^{19}\)

A: = α,B: = A + 0.5(2 − A)

(c),z→300

\(E_{A,B}(z)\rightarrow 1\times 10^{27}\)

A: = α,B: = A + 0.5(2 − A)

(d),z→400

\(E_{A,B}(z)\rightarrow 3\times 10^{35}\)