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Exact solutions of a local fractional nonisospectral complex mKdV equation based on Riemann–Hilbert method with time-varying spectrum

Alexandria Engineering Journal
This article combines the Riemann–Hilbert method with fractional power-law time-varying spectrum for the first time to solve a time fractional nonisospectral complex mKdV (tfniscmKdV) equation. Firstly, the tfniscmKdV equation and its associated Lax pair
Bo Xu, Sheng Zhang
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Fractional-order Chelyshkov collocation method for solving variable-order fractional differential equations

Journal of Inequalities and Applications
This paper presents an efficient numerical method for solving variable-order fractional differential equations (VO-FDEs) by using the fractional-order Chelyshkov functions (FCHFs).
M. S. Al-Sharif, A. I. Ahmed, M. S. Salim +2 more
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Alternating method on arbitrary Riemann surfaces [PDF]

Pacific Journal of Mathematics, 1953
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The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection

Abstract and Applied Analysis
This article deals with a classes of singular integral–differential equations with convolution kernel and reflection. By means of the theory of boundary value problems of analytic functions and the theory of Fourier analysis, such equations can be ...
A. S. Nagdy, KH. M. Hashem, H. E. H. Ebrahim +2 more
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Riemann-Cesàro methods of summability, IV