The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative

Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection

“…Here we extend such approach with new fractional compartmental models. Applications of fractional calculus in numerous fields of science and engineering have gained popularity and importance in past four decades, see [3,37,38] and references therein. Recently, extensions of fractional derivative operators have been developed and proved to be very useful in several applications, showing a high vitality of the research field [5,6,17].…”

Fixed‐point theorems for weak ( ψ , β )‐mappings satisfying generalized C ‐condition and its application to boundary value problem

“…In the last 15 years, fixed‐point theory and its application have been developed enormously in different field. Specially, after the introduction of partially ordered metric spaces, fixed‐point problems are applied on specific initial or boundary value problems to find solution . These problems include ordinary and partial differential equations along with fractional differential equations.…”

“…Specially, after the introduction of partially ordered metric spaces, fixed-point problems are applied on specific initial or boundary value problems to find solution. [1][2][3][4][5][6][7][8][9] These problems include ordinary and partial differential equations along with fractional differential equations. Ran and Reurings 10 were the first who investigated a fixed-point theorem in partially ordered metric spaces and gave an application for the existence and uniqueness of system of nonlinear matrix equations.…”

Ground state solutions of p-Laplacian singular Kirchhoff problem involving a Riemann-Liouville fractional derivative

“…Recently, the study of the fractional elliptic equations with regular nolinearities and without a Kirchhoff coefficient has been attracted lot of interest by researchers in nonlinear analysis. The fractional boundary value problem using variational methods has been studied in [3,5,7,16,17,20,21,31,32] with references therein. Also, existence and multiplicity results for the Kirchhoff equations with regular nolinearities are shown an always increasing interest.…”