New results for fractional evolution equations using Banach fixed point theorem

Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem

and Applied Analysis 3 Remark 2.3. If x, y : 0, ∞ → R with order α > 0, then Dt ( x t y t ) Dtx t Dty t . 2.3 Proposition 2.4 see 18, 19 . 1 If x ∈ L1 0, 1 , ν > σ > 0, then IIx t I x t , DtIx t Iν−σx t , DtIx t x t . 2.4 2 If ν > 0, σ > 0, then Dttσ−1 Γ σ Γ σ − ν t σ−ν−1. 2.5 Proposition 2.5 see 18, 19 . Let α > 0, and f x is integrable, then IDtf x f x c1xα−1 c2xα−2 · · · cnxα−n, 2.6 where ci...

Banach fixed point theorem and applications

fixed point property for banach algebras associated to locally compact groups

در این پایان نامه به بررسی خاصیت نقطه ثابت و خاصیت نقطه ثابت برای نیم گروههای برگشت پذیر چپ روی بعضی جبرهای باناخ از جمله جبر فوریه و جبر فوریه استیلتیس پرداخته شده است. برای مثال بیان شده است که اگر گروه یک گروه فشرده موضعی با همسایگی فشرده برای عنصر همانی که تحت درونریختی ها پایاست باشد آنگاه جبر فوریه و جبر فوریه استیلتیس دارای خاصیت نقطه ثابت برای نیم گروه های برگشت پذیر چپ است اگر و تنها ا...

Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem

In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.

Unique Fixed Point Theorem for Weakly Inward Contractions and Fixed Point Curve in 2-Banach Space

In this paper, we prove unique fixed point theorem for weakly inward contractions on 2-Banach space and introduce the concept of fixed point curve in 2-Banach space. 2010 AMS Classication: 41A65, 46B20,47H10, 54H25.

Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces

We investigate the initial value problem for a class of fractional evolution equations in a Banach space. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well-known monotone iterative technique is then extended for fractional evolution equations which provides computable monotone sequences that converge to the extremal solutions in a sector generate...