Some existence results for a nonlinear \(q\)-integral equations via M.N.C and fixed point theorem Petryshyn

(q)-calculus and related topics (05A30) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

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Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations
Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness
\(q\)-difference equations.
Existence of positive solutions of nonlinear fractional \(q\)-difference equation with parameter
Multi-strip fractional \(q\)-integral boundary value problems for nonlinear fractional \(q\)-difference equations
Sur les espaces complets.
\(q\)-functional field theory for particles with exotic statistics.
A study of nonlinear fractional \(q\)-difference equations with nonlocal integral boundary conditions
Solvability of generalized fractional order integral equations via measures of noncompactness
A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra
Existence of solution for non-linear functional integral equations of two variables in Banach algebra
Existence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditions
Structure of the fixed points sets of k-set-contractions
Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators
\(q\) gauge theory.
Fractional q-Calculus on a time scale
On solutions of some delay Volterra integral problems on a half-line
Application of Petryshyn's fixed point theorem of existence result for non-linear 2D Volterra functional integral equations
Quantum calculus
On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo's criterion
Existence and stability analysis for a class of fractional pantograph \(q\)-difference equations with nonlocal boundary conditions
New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of \(\psi\)-Hilfer fractional differential equations
On the solvability of non-linear fractional integral equations of product type
Solvability of a generalized \(\psi\)-Riemann-Liouville fractional BVP under nonlocal boundary conditions
On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives
Solvability for 2D non-linear fractional integral equations by Petryshyn's fixed point theorem
Investigation of the solution for the \(k\)-dimensional device of differential inclusion of Laplacian fraction with sequential derivatives and boundary conditions of integral and derivative

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