A use for a derivative of complex order in the fractional calculus or what, indeed, is \(d^{3-(1/2)i}/dx^{3-(1/2)i}\) and what can you do with it?

Publication date: 1978

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Fractional derivatives and integrals (26A33) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

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Existence and Ulam stability results for a class of boundary value problem of neutral pantograph equations with complex order ⋮ Theory of Hybrid Fractional Differential Equations with Complex Order ⋮ Fractional derivatives and expansion formulas involving H-functions of one and more variables ⋮ Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions ⋮ Direct and inverse Cauchy problems for generalized space-time fractional differential equations ⋮ On the existence and stability of solution of boundary value problem for fractional integro-differential equations with complex order

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