Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative [PDF]
Numerical Functional Analysis and Optimization, 2012 We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.
Delfim F M Torres +2 more
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Solvability of a Hadamard fractional boundary value problem with multi‐term integral and Hadamard fractional derivative boundary conditions [PDF]
Mathematical Methods in the Applied SciencesIn the present paper, we construct the existence of nontrivial solutions to a new kind of Hadamard fractional boundary value problem on an unbounded domain. With the contribution of some fixed point theorems in cone and the corresponding Green function, we ensure sufficient conditions for the Hadamard fractional boundary value problem.
Tugba Şenlik Cerdik
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