# Search results for: Dumitru Baleanu

Mathematical Methods in the Applied Sciences > 45 > 2 > 667 - 680

Mathematical Methods in the Applied Sciences > 44 > 13 > 10905 - 10911

*α*‐resolvent in order to elucidate the investigated result. Our results modify the Theorem 4 of Sousa and et. al. [Sousa JVC, Rodrigues FG, Oliveira EC. Stability of the fractional...

Mathematical Methods in the Applied Sciences > 44 > 11 > 9026 - 9041

*f*(

*x*) of the parabolic diffusion equation. This problem is well known to be severely ill‐posed. Therefore, regularization is required. The error estimates between the sought solution and the regularized solution are obtained under an a priori parameter choice rule and an a posteriori parameter choice rule,...

Mathematical Methods in the Applied Sciences > 44 > 11 > 9143 - 9162

Mathematical Methods in the Applied Sciences > 44 > 11 > 8648 - 8659

Mathematical Methods in the Applied Sciences > 44 > 10 > 8286 - 8301

Mathematical Methods in the Applied Sciences > 44 > 10 > 7884 - 7896

Mathematical Methods in the Applied Sciences > 44 > 8 > 6247 - 6258

Mathematical Methods in the Applied Sciences > 44 > 7 > 5548 - 5559

Mathematical Methods in the Applied Sciences > 44 > 7 > 5340 - 5364

Mathematical Methods in the Applied Sciences > 44 > 7 > 5458 - 5474

Mathematical Methods in the Applied Sciences > 44 > 7 > 6195 - 6208

Mathematical Methods in the Applied Sciences > 44 > 6 > 5188 - 5209

Mathematical Methods in the Applied Sciences > 44 > 6 > 4701 - 4714

Asian Journal of Control > 23 > 2 > 1062 - 1071

Mathematical Methods in the Applied Sciences > 44 > 5 > 4018 - 4036

Numerical Methods for Partial Differential Equations > 37 > 2 > 1439 - 1448

*q*‐homotopy analysis transform method (

*q*‐HATM). The PE describes the potential field due to a given charge with the potential field known, one can then calculate gravitational or electrostatic field in fractal domain. It is an elliptic partial differential equations (PDE) that regularly appear in the modeling of the electromagnetic...

Mathematical Methods in the Applied Sciences > 44 > 2 > 2033 - 2039

*q*‐difference equations has gained intensive interest in the last years. It has been shown that these types of equations have numerous applications in diverse fields and thus have evolved into multidisciplinary subjects. In this paper, the

*q*‐fractional integral inequalities of Henry–Gronwall type are presented. By using inequality technique related to the quantum calculus, such integral...

Mathematical Methods in the Applied Sciences > 44 > 2 > 2183 - 2199

Mathematical Methods in the Applied Sciences > 44 > 1 > 1086 - 1102