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There are many applications of mathematical physics in several fields of basic science and engineering. Thus, we have tried to provide the Special Issue “Modern Problems of Mathematical Physics and Their Applications” to cover the new advances of mathematical physics and its applications. In this Special Issue, we have focused on some important and challenging topics, such as integral equations, ill-posed problems, ordinary differential equations, partial differential equations, system of equations, fractional problems, linear and nonlinear problems, fuzzy problems, numerical methods, analytical methods, semi-analytical methods, convergence analysis, error analysis and mathematical models. In response to our invitation, we received 31 papers from more than 17 countries (Russia, Uzbekistan, China, USA, Kuwait, Bosnia and Herzegovina, Thailand, Pakistan, Turkey, Nigeria, Jordan, Romania, India, Iran, Argentina, Israel, Canada, etc.), of which 19 were published and 12 rejected.

Research & information: general --- Mathematics & science --- cauchy problem --- regularization --- factorization --- regular solution --- fundamental solution --- road section --- IMF SWARA --- traffic safety --- fuzzy MARCOS --- DEA --- ordinary differential equations --- analytical methods --- mathematical models --- Riccati equation --- radial Schrödinger equation --- transformations --- hyper-singular integrals --- Navier–Stokes problem --- product user experience --- enterprise network public opinion --- identification of high-risk users --- random forest algorithm --- user portrait --- controlled second-order Lagrangian --- Euler–Lagrange equations --- isoperimetric constraints --- curvilinear integral --- differential 1-form --- partition functions --- analytical extensions --- guelfand’s and gradshteyn’s --- classical gravity --- internal waves in rotating ocean --- fractional derivative --- q-Homotopy analysis transform technique --- fixed point theorem --- minimal sensitivity --- optimization --- power transform --- critical index --- secant method --- generalized secant method --- complex roots --- cressman method --- EICM --- ENSO --- SSTA --- immune system --- virus-infected cell --- effector cell --- autoimmune disease --- time-delay virus-immune model --- differential equations --- differential operators --- non-local boundary value problems --- general conditions --- integral conditions --- multipoint conditions --- composition of operators --- pseudo-differential equation --- conjugation problem --- wave factorization --- solvability condition --- measure of noncompactness --- random effect --- random operator --- Mönch’s fixed point theorem --- multi-term fractional differential equation --- Carathéodory condition --- resolvent family theory --- multi-dimensional public opinion --- topic derivation --- complex network dynamics model --- online comments --- hot events --- fluid --- flows --- dynamic --- structure --- axiomatics --- fundamental equations --- dissipation --- complete solution --- ligaments --- waves --- vortices --- plate --- wake --- drop --- impact --- boundary element method --- barrier options --- multi-asset options --- basket options --- spread options --- thrid-order differential equations --- delay --- oscillation criteria --- n/a --- radial Schrödinger equation --- Navier-Stokes problem --- Euler-Lagrange equations --- guelfand's and gradshteyn's --- Mönch's fixed point theorem --- Carathéodory condition --- third-order differential equations