New Trends in the Applications of Differential Equations in Sciences

Part I: 1.2-d minimal surface ow with the oblique condition and translators(L. Ma and Y. Pan).- 2. Graphical portraits of the solutions of binary first order nonlinear ordinary differential equation near their singular point(P. Popivanov and A. Slavova).- 3. Physics informed cellular neural networks for solving partial differential equations(A. Slavova and E. Litsyn).- 4. Several Relationships Connected to a Special Function used in the Simple Equations Method(SEsM)( N.K. Vitanov).- 5. On the Exact Solutions of a Sequence of Nonlinear Differential Equations Possessing Polynomial Nonlinearities(Z.I. Dimitrova).- 6. Improved Hardy inequality with logarithmic term(N. Kutev and T. Rangelov).-7. Robin boundary value problem for some nonlinear nonlocal elliptic partial differentialEquations(P. Popivanov and A. Slavova).-8. The Ericksen-Leslie System for Data on a Plane(D. Barbera and V. Georgiev).- 9. High frequency weighted resolvent estimates for the Dirichlet Laplacian in the exterior domain(V. Georgiev and M. Rastrelli).- 10. Influence of stimulus on the motion of substance in a channel of network(Z.I. Dimitrova, Y. Chorbadzhiyska - Stamenova).- 11. Klein-Gordon equation with critical initial energy and nonlinearities with variable Coefficients(N. Kutev, M. Dimova and N. Kolkovska).- 12. Definite / indefinite integrals involving non-integral powers for certain trigonometric functions times special functions(Y. Mochimaru).- 13. A dynamic Green's function for the homogeneous viscoelastic and isotropic half-space(T.V. Rangelov, P.S. Dineva, and G.D. Manolis).- 14. Area and perimeter full distribution functions for planar Poisson line processes and Voronoi diagrams(A. Kanel-Belov, M. Golafshan, S. Malev, and R. Yavich).- 15. An Application of the Simplest Equations Method to Logarithmic Schrodinger Equation(Ivan P. Jordanov).- 16. Explicit solutions of the nonlinear Schrodinger-type equation(A. Syzdykova and G. Kudaibergenov).- 17. Didactic Approachto Study Mass - Inertial Characteristics of Bodies in Plane Motion (V. Kotev, R. Rusinov, M. Rimeh, G. Ivanov, M. Ivanova, I. Jordanov).- 18. On the Loss of Regularity in a Degenerate Vibrating Beam Equation(P. Popivanov and B. Yordanov).- Part II: 19. Mittag - Le_er stability for non-instantaneous impulsive generalized proportional Caputo fractional di_erential equations(S. Hristova).- 20. Uniqueness Functions to Conformable Di_erential Inclusions(T. Donchev, J. Abbas, I. Nikolova, S. Stoilova).- 21. Numerous exact solutions of the Wu-Zhang system with conformable time-fractional derivatives via Simple Equations Method (SEsM): The Case of Two Simple Equations(E.V. Nikolova).- 22. Impulses in generalized proportional Caputo fractional di_erential equations and equivalent integral presentation(S. Hristova and R. Terzieva).- 23. Reconstruction of the Time-Dependent Diffusion Coefficient in a Space-Fractional Parabolic Equation(M.N. Koleva and L.G. Vulkov).- 24. On the traveling wave solutions of the fractional diffusive predator - prey system incorporating an Allee effect(E.V. Nikolova).- 25. Several exact solutions of the fractional predator - prey model via the Simple Equations Method(SEsM) (R.G. Nikolov, E.V. Nikolova and V.N. Boutchaktchiev).- Part III: 26. Comparison Between the Chain Ladder Method and the Bornhuetter-Ferguson Method for Third Party Liability Insurance(E. Raeva and V. Pavlov and H. Redzheb) 27. Iterative Calibration of Implied Volatility for European Options: A Computational Approach (T. Klimenko and V. Pavlov).- 28. Mixed Approach between Capital Asset Pricing Model and ARIMA Model for Estimating the Standard and Poor's Stocks(E. Raeva and I. Raeva and Y. Ivanova).- 29. Measuring of Inferred Loss Rate with Application to Capital Adequacy(V. Boutchaktchiev).- 30. Comparative Analysis on Neural Networks and ARIMA for Forecasting Heterogeneous Portfolio Returns(A. Klimenko, V. Mihova, S. Georgiev, I. Georgiev and V. Pavlov).- 31.Some modifications of the Kies distribution Applications(N. Kyurkchiev, T. Zaevski, A. Iliev, and Asen Rahnev).- 32. Portfolio Construction Using Neural Networks and Multiobjective Optimization(T. Tsonev, S. Georgiev, I. Georgiev, V. Mihova and V. Pavlov).- 33. Advanced stochastic Monte Carlo optimization methods for two-dimensional European style options(V.Todorov and Slavi Georgiev).- 34.Simple Equations Method (SEsM): Exact Solutions for Description of COVID-19 Epidemic Waves (N.K. Vitanov).- 35. Numerical determination of age-dependent coefficients in an integro-hyperbolic system of honeybee population dynamics(S. Georgiev and L. Vulkov).- 36. Edge of chaos in reaction-diffusion system with memristor synapses (A. Slavova and V. Ignatov).- 37. Inverse Modelling of the Cellular Immune Response to SARS-CoV-2(S. Georgiev).- 38. Reconstruction of Boundary Conditions of a Parabolic-Hyperbolic Transmission Problem (M.N. Koleva and L.G. Vulkov).- 39. Novel Monte Carlo algorithmfor linear algebraic systems(V. Todorov, S. Georgiev, and I. Dimov).- 40. A note on the Hwang-Kim's universal activation function(M. Vasileva and N. Kyurkchiev).- 41. Special lattice and digital sequences for multidimensional air pollution modelling (V. Todorov, S. Georgiev, and I. Dimov).- 42. Some applications of the Dickson polynomials of higher kind for modeling radiation diagrams (M. Vasileva, V. Kyurkchiev, A. Iliev, A. Rahnev and N. Kyurkchiev).- 43. Novel stochastic method for multidimensional Fredholm integral equations(V. Todorov, S. Georgiev, and Y. Dimitrov).