Fractional-Order Integral and Derivative Operators and Their Applications
Fractional-Order Integral and Derivative Operators and Their Applications
English[eng]
Legendre wavelet||operational matrix||systems of fractional order differential equations||Liouville_Caputo sense||analytic functions||starlike functions||univalent functions||length problems||SIR model||Hermite collocation method||approximate solution||Hermite polynomials and series||collocation points||starlike and q-starlike functions||q-derivative operator||q-hypergeometric functions||conic and generalized conic domains||Hankel determinant||Toeplitz matrices||fractional differential equations||Riemann-stieltjes integral||monotone iterative method||upper and lower solutions||fractional diffusion equation||controllability||impulsive system||unique continuation property||non-linear fractional variational problems||orthogonal polynomials||Rayleigh-Ritz method||error analysis||convergence analysis||Banach space||Sobolev space||Laplace operators||nonlocal boundary conditions||fractional differential systems||mixed Riemann–Liouville integral||mixed Hadamard integral||Hilfer derivative||Hadamard derivative||coupled system||random solution||variable order fractional derivative||initial value problem||piecewise constant functions||starlike function||Toeplitz determinant||sine function||upper bound||convex functions||subordination||logarithmic coefficients||Gauss hypergeometric function||confluent hypergeometric function||Appell’s functions||incomplete fractional calculus||Riemann-Liouville fractional integral||generating functions||fractional integrals||fractional derivatives||Mittag–Leffler functions||field spectrum||fractional calculus||desert soil||available potassium||correlation analysis||Post-Exposure Prophylaxis||latent reservoir||HIV infection||fractional order model||multivalent functions||close-to-convex functions||uniformly starlike functions||uniformly close-to-convex functions||conic domains||q-calculus||differential subordination||Janowski function||cardioid domain||limacon domain||fractional order unknown input fuzzy observer||fractional order Takagi–Sugeno models||L2 optimization||linear matrix inequalities||unmeasurable premise variables||global solutions||fractional in time and space shallow-water system||ψ-Caputo fractional derivative||Hilfer fractional derivative||Ulam stability||pantograph differential equation||nonlocal integral condition||Miura transform||soliton equations||logarithm||n/a
English[eng]
Legendre wavelet||operational matrix||systems of fractional order differential equations||Liouville_Caputo sense||analytic functions||starlike functions||univalent functions||length problems||SIR model||Hermite collocation method||approximate solution||Hermite polynomials and series||collocation points||starlike and q-starlike functions||q-derivative operator||q-hypergeometric functions||conic and generalized conic domains||Hankel determinant||Toeplitz matrices||fractional differential equations||Riemann-stieltjes integral||monotone iterative method||upper and lower solutions||fractional diffusion equation||controllability||impulsive system||unique continuation property||non-linear fractional variational problems||orthogonal polynomials||Rayleigh-Ritz method||error analysis||convergence analysis||Banach space||Sobolev space||Laplace operators||nonlocal boundary conditions||fractional differential systems||mixed Riemann–Liouville integral||mixed Hadamard integral||Hilfer derivative||Hadamard derivative||coupled system||random solution||variable order fractional derivative||initial value problem||piecewise constant functions||starlike function||Toeplitz determinant||sine function||upper bound||convex functions||subordination||logarithmic coefficients||Gauss hypergeometric function||confluent hypergeometric function||Appell’s functions||incomplete fractional calculus||Riemann-Liouville fractional integral||generating functions||fractional integrals||fractional derivatives||Mittag–Leffler functions||field spectrum||fractional calculus||desert soil||available potassium||correlation analysis||Post-Exposure Prophylaxis||latent reservoir||HIV infection||fractional order model||multivalent functions||close-to-convex functions||uniformly starlike functions||uniformly close-to-convex functions||conic domains||q-calculus||differential subordination||Janowski function||cardioid domain||limacon domain||fractional order unknown input fuzzy observer||fractional order Takagi–Sugeno models||L2 optimization||linear matrix inequalities||unmeasurable premise variables||global solutions||fractional in time and space shallow-water system||ψ-Caputo fractional derivative||Hilfer fractional derivative||Ulam stability||pantograph differential equation||nonlocal integral condition||Miura transform||soliton equations||logarithm||n/a